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Finding the Fourth Proportional to 70,602,762.32, 105,843,481.56 and 24,538,647.14

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Solution

The fourth proportional to 70,602,762.32, 105,843,481.56 and 24,538,647.14 is: 36,786,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,602,762.32 : 105,843,481.56 = 24,538,647.14 : x
  2. Step 2: Convert to fraction form
    70,602,762.32/105,843,481.56 = 24,538,647.14/x
  3. Step 3: Cross multiply
    70,602,762.32x = 105,843,481.56 × 24,538,647.14
  4. Step 4: Simplify right side
    70,602,762.32x = 2,597,255,845,540,719.50
  5. Step 5: Solve for x
    x = 2,597,255,845,540,719.50/70,602,762.32
  6. Step 6: Final answer
    x = 36,786,887.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.