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Finding the Fourth Proportional to 65,761.76, 98,632.88 and 24,199.04

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Solution

The fourth proportional to 65,761.76, 98,632.88 and 24,199.04 is: 36,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.76 : 98,632.88 = 24,199.04 : x
  2. Step 2: Convert to fraction form
    65,761.76/98,632.88 = 24,199.04/x
  3. Step 3: Cross multiply
    65,761.76x = 98,632.88 × 24,199.04
  4. Step 4: Simplify right side
    65,761.76x = 2,386,821,008.44
  5. Step 5: Solve for x
    x = 2,386,821,008.44/65,761.76
  6. Step 6: Final answer
    x = 36,294.97

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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.