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Finding the Fourth Proportional to 84,892.92, 117,159.18 and 54,741

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Solution

The fourth proportional to 84,892.92, 117,159.18 and 54,741 is: 75,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,892.92 : 117,159.18 = 54,741 : x
  2. Step 2: Convert to fraction form
    84,892.92/117,159.18 = 54,741/x
  3. Step 3: Cross multiply
    84,892.92x = 117,159.18 × 54,741
  4. Step 4: Simplify right side
    84,892.92x = 6,413,410,672.38
  5. Step 5: Solve for x
    x = 6,413,410,672.38/84,892.92
  6. Step 6: Final answer
    x = 75,547.06

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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.