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Finding the Fourth Proportional to 73,102.64, 100,882.48 and 42,888.50

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Solution

The fourth proportional to 73,102.64, 100,882.48 and 42,888.50 is: 59,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102.64 : 100,882.48 = 42,888.50 : x
  2. Step 2: Convert to fraction form
    73,102.64/100,882.48 = 42,888.50/x
  3. Step 3: Cross multiply
    73,102.64x = 100,882.48 × 42,888.50
  4. Step 4: Simplify right side
    73,102.64x = 4,326,698,243.48
  5. Step 5: Solve for x
    x = 4,326,698,243.48/73,102.64
  6. Step 6: Final answer
    x = 59,186.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.