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Finding the Fourth Proportional to 62,781.44, 86,654.16 and 35,932.16

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Solution

The fourth proportional to 62,781.44, 86,654.16 and 35,932.16 is: 49,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,781.44 : 86,654.16 = 35,932.16 : x
  2. Step 2: Convert to fraction form
    62,781.44/86,654.16 = 35,932.16/x
  3. Step 3: Cross multiply
    62,781.44x = 86,654.16 × 35,932.16
  4. Step 4: Simplify right side
    62,781.44x = 3,113,671,141.79
  5. Step 5: Solve for x
    x = 3,113,671,141.79/62,781.44
  6. Step 6: Final answer
    x = 49,595.41

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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.