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Finding the Fourth Proportional to 78,148.77, 107,845.15 and 42,339.75

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Solution

The fourth proportional to 78,148.77, 107,845.15 and 42,339.75 is: 58,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148.77 : 107,845.15 = 42,339.75 : x
  2. Step 2: Convert to fraction form
    78,148.77/107,845.15 = 42,339.75/x
  3. Step 3: Cross multiply
    78,148.77x = 107,845.15 × 42,339.75
  4. Step 4: Simplify right side
    78,148.77x = 4,566,136,689.71
  5. Step 5: Solve for x
    x = 4,566,136,689.71/78,148.77
  6. Step 6: Final answer
    x = 58,428.77

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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.