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Finding the Fourth Proportional to 78,142.68, 107,836.38 and 42,331.86

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Solution

The fourth proportional to 78,142.68, 107,836.38 and 42,331.86 is: 58,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,142.68 : 107,836.38 = 42,331.86 : x
  2. Step 2: Convert to fraction form
    78,142.68/107,836.38 = 42,331.86/x
  3. Step 3: Cross multiply
    78,142.68x = 107,836.38 × 42,331.86
  4. Step 4: Simplify right side
    78,142.68x = 4,564,914,541.07
  5. Step 5: Solve for x
    x = 4,564,914,541.07/78,142.68
  6. Step 6: Final answer
    x = 58,417.69

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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.