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Finding the Fourth Proportional to 28,398.15, 42,531.57 and 27,414

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Solution

The fourth proportional to 28,398.15, 42,531.57 and 27,414 is: 41,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,398.15 : 42,531.57 = 27,414 : x
  2. Step 2: Convert to fraction form
    28,398.15/42,531.57 = 27,414/x
  3. Step 3: Cross multiply
    28,398.15x = 42,531.57 × 27,414
  4. Step 4: Simplify right side
    28,398.15x = 1,165,960,459.98
  5. Step 5: Solve for x
    x = 1,165,960,459.98/28,398.15
  6. Step 6: Final answer
    x = 41,057.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.