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Finding the Fourth Proportional to 78,059.57, 107,722.13 and 42,249.47

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Solution

The fourth proportional to 78,059.57, 107,722.13 and 42,249.47 is: 58,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.57 : 107,722.13 = 42,249.47 : x
  2. Step 2: Convert to fraction form
    78,059.57/107,722.13 = 42,249.47/x
  3. Step 3: Cross multiply
    78,059.57x = 107,722.13 × 42,249.47
  4. Step 4: Simplify right side
    78,059.57x = 4,551,202,149.91
  5. Step 5: Solve for x
    x = 4,551,202,149.91/78,059.57
  6. Step 6: Final answer
    x = 58,304.22

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1.5x scale

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.