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Finding the Fourth Proportional to 70,126.33, 105,212.84 and 22,742.97

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Solution

The fourth proportional to 70,126.33, 105,212.84 and 22,742.97 is: 34,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,126.33 : 105,212.84 = 22,742.97 : x
  2. Step 2: Convert to fraction form
    70,126.33/105,212.84 = 22,742.97/x
  3. Step 3: Cross multiply
    70,126.33x = 105,212.84 × 22,742.97
  4. Step 4: Simplify right side
    70,126.33x = 2,392,851,937.67
  5. Step 5: Solve for x
    x = 2,392,851,937.67/70,126.33
  6. Step 6: Final answer
    x = 34,122.02

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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.