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Finding the Fourth Proportional to 67,680, 93,402.81 and 37,872

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Solution

The fourth proportional to 67,680, 93,402.81 and 37,872 is: 52,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,680 : 93,402.81 = 37,872 : x
  2. Step 2: Convert to fraction form
    67,680/93,402.81 = 37,872/x
  3. Step 3: Cross multiply
    67,680x = 93,402.81 × 37,872
  4. Step 4: Simplify right side
    67,680x = 3,537,351,220.32
  5. Step 5: Solve for x
    x = 3,537,351,220.32/67,680
  6. Step 6: Final answer
    x = 52,265.83

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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.