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Finding the Fourth Proportional to 54,577.50, 81,892.17 and 17,641.50

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Solution

The fourth proportional to 54,577.50, 81,892.17 and 17,641.50 is: 26,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,577.50 : 81,892.17 = 17,641.50 : x
  2. Step 2: Convert to fraction form
    54,577.50/81,892.17 = 17,641.50/x
  3. Step 3: Cross multiply
    54,577.50x = 81,892.17 × 17,641.50
  4. Step 4: Simplify right side
    54,577.50x = 1,444,700,717.06
  5. Step 5: Solve for x
    x = 1,444,700,717.06/54,577.50
  6. Step 6: Final answer
    x = 26,470.63

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Why These Related Problems?

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