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Finding the Fourth Proportional to 65,691.52, 90,654.28 and 35,883.52

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Solution

The fourth proportional to 65,691.52, 90,654.28 and 35,883.52 is: 49,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691.52 : 90,654.28 = 35,883.52 : x
  2. Step 2: Convert to fraction form
    65,691.52/90,654.28 = 35,883.52/x
  3. Step 3: Cross multiply
    65,691.52x = 90,654.28 × 35,883.52
  4. Step 4: Simplify right side
    65,691.52x = 3,252,994,669.47
  5. Step 5: Solve for x
    x = 3,252,994,669.47/65,691.52
  6. Step 6: Final answer
    x = 49,519.25

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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.