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Finding the Fourth Proportional to 61,082.76, 84,335.28 and 38,147.52

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Solution

The fourth proportional to 61,082.76, 84,335.28 and 38,147.52 is: 52,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,082.76 : 84,335.28 = 38,147.52 : x
  2. Step 2: Convert to fraction form
    61,082.76/84,335.28 = 38,147.52/x
  3. Step 3: Cross multiply
    61,082.76x = 84,335.28 × 38,147.52
  4. Step 4: Simplify right side
    61,082.76x = 3,217,181,780.51
  5. Step 5: Solve for x
    x = 3,217,181,780.51/61,082.76
  6. Step 6: Final answer
    x = 52,669.23

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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.