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Finding the Fourth Proportional to 78,364.68, 108,140.28 and 42,553.92

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Solution

The fourth proportional to 78,364.68, 108,140.28 and 42,553.92 is: 58,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364.68 : 108,140.28 = 42,553.92 : x
  2. Step 2: Convert to fraction form
    78,364.68/108,140.28 = 42,553.92/x
  3. Step 3: Cross multiply
    78,364.68x = 108,140.28 × 42,553.92
  4. Step 4: Simplify right side
    78,364.68x = 4,601,792,823.90
  5. Step 5: Solve for x
    x = 4,601,792,823.90/78,364.68
  6. Step 6: Final answer
    x = 58,722.79

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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.