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Finding the Fourth Proportional to 78,343.68, 108,145.14 and 52,865.13

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Solution

The fourth proportional to 78,343.68, 108,145.14 and 52,865.13 is: 72,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,343.68 : 108,145.14 = 52,865.13 : x
  2. Step 2: Convert to fraction form
    78,343.68/108,145.14 = 52,865.13/x
  3. Step 3: Cross multiply
    78,343.68x = 108,145.14 × 52,865.13
  4. Step 4: Simplify right side
    78,343.68x = 5,717,106,884.97
  5. Step 5: Solve for x
    x = 5,717,106,884.97/78,343.68
  6. Step 6: Final answer
    x = 72,974.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.