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Finding the Fourth Proportional to 65,761.80, 98,577.90 and 32,454.60

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Solution

The fourth proportional to 65,761.80, 98,577.90 and 32,454.60 is: 48,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.80 : 98,577.90 = 32,454.60 : x
  2. Step 2: Convert to fraction form
    65,761.80/98,577.90 = 32,454.60/x
  3. Step 3: Cross multiply
    65,761.80x = 98,577.90 × 32,454.60
  4. Step 4: Simplify right side
    65,761.80x = 3,199,306,313.34
  5. Step 5: Solve for x
    x = 3,199,306,313.34/65,761.80
  6. Step 6: Final answer
    x = 48,649.92

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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.