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Finding the Fourth Proportional to 54,411.88, 75,088.90 and 35,549

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Solution

The fourth proportional to 54,411.88, 75,088.90 and 35,549 is: 49,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,411.88 : 75,088.90 = 35,549 : x
  2. Step 2: Convert to fraction form
    54,411.88/75,088.90 = 35,549/x
  3. Step 3: Cross multiply
    54,411.88x = 75,088.90 × 35,549
  4. Step 4: Simplify right side
    54,411.88x = 2,669,335,306.10
  5. Step 5: Solve for x
    x = 2,669,335,306.10/54,411.88
  6. Step 6: Final answer
    x = 49,057.95

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Why These Related Problems?

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