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Finding the Fourth Proportional to 65,677.60, 98,506.80 and 24,115.36

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Solution

The fourth proportional to 65,677.60, 98,506.80 and 24,115.36 is: 36,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,677.60 : 98,506.80 = 24,115.36 : x
  2. Step 2: Convert to fraction form
    65,677.60/98,506.80 = 24,115.36/x
  3. Step 3: Cross multiply
    65,677.60x = 98,506.80 × 24,115.36
  4. Step 4: Simplify right side
    65,677.60x = 2,375,526,944.45
  5. Step 5: Solve for x
    x = 2,375,526,944.45/65,677.60
  6. Step 6: Final answer
    x = 36,169.52

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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.