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Finding the Fourth Proportional to 74,233.68, 102,431.28 and 42,395.80

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Solution

The fourth proportional to 74,233.68, 102,431.28 and 42,395.80 is: 58,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,233.68 : 102,431.28 = 42,395.80 : x
  2. Step 2: Convert to fraction form
    74,233.68/102,431.28 = 42,395.80/x
  3. Step 3: Cross multiply
    74,233.68x = 102,431.28 × 42,395.80
  4. Step 4: Simplify right side
    74,233.68x = 4,342,656,060.62
  5. Step 5: Solve for x
    x = 4,342,656,060.62/74,233.68
  6. Step 6: Final answer
    x = 58,499.81

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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.