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Finding the Fourth Proportional to 65,952, 98,956.80 and 24,387.84

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Solution

The fourth proportional to 65,952, 98,956.80 and 24,387.84 is: 36,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952 : 98,956.80 = 24,387.84 : x
  2. Step 2: Convert to fraction form
    65,952/98,956.80 = 24,387.84/x
  3. Step 3: Cross multiply
    65,952x = 98,956.80 × 24,387.84
  4. Step 4: Simplify right side
    65,952x = 2,413,342,605.31
  5. Step 5: Solve for x
    x = 2,413,342,605.31/65,952
  6. Step 6: Final answer
    x = 36,592.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.