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Finding the Fourth Proportional to 74,132.46, 102,310.12 and 42,306.14

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Solution

The fourth proportional to 74,132.46, 102,310.12 and 42,306.14 is: 58,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,132.46 : 102,310.12 = 42,306.14 : x
  2. Step 2: Convert to fraction form
    74,132.46/102,310.12 = 42,306.14/x
  3. Step 3: Cross multiply
    74,132.46x = 102,310.12 × 42,306.14
  4. Step 4: Simplify right side
    74,132.46x = 4,328,346,568.79
  5. Step 5: Solve for x
    x = 4,328,346,568.79/74,132.46
  6. Step 6: Final answer
    x = 58,386.66

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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.