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Finding the Fourth Proportional to 65,217.85, 97,847.77 and 29,691.88

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Solution

The fourth proportional to 65,217.85, 97,847.77 and 29,691.88 is: 44,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217.85 : 97,847.77 = 29,691.88 : x
  2. Step 2: Convert to fraction form
    65,217.85/97,847.77 = 29,691.88/x
  3. Step 3: Cross multiply
    65,217.85x = 97,847.77 × 29,691.88
  4. Step 4: Simplify right side
    65,217.85x = 2,905,284,245.11
  5. Step 5: Solve for x
    x = 2,905,284,245.11/65,217.85
  6. Step 6: Final answer
    x = 44,547.38

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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.