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Finding the Fourth Proportional to 61,542, 84,956.28 and 36,044.82

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Solution

The fourth proportional to 61,542, 84,956.28 and 36,044.82 is: 49,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542 : 84,956.28 = 36,044.82 : x
  2. Step 2: Convert to fraction form
    61,542/84,956.28 = 36,044.82/x
  3. Step 3: Cross multiply
    61,542x = 84,956.28 × 36,044.82
  4. Step 4: Simplify right side
    61,542x = 3,062,233,820.47
  5. Step 5: Solve for x
    x = 3,062,233,820.47/61,542
  6. Step 6: Final answer
    x = 49,758.44

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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.