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Finding the Fourth Proportional to 65,657.97, 98,517.70 and 32,359.88

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Solution

The fourth proportional to 65,657.97, 98,517.70 and 32,359.88 is: 48,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,657.97 : 98,517.70 = 32,359.88 : x
  2. Step 2: Convert to fraction form
    65,657.97/98,517.70 = 32,359.88/x
  3. Step 3: Cross multiply
    65,657.97x = 98,517.70 × 32,359.88
  4. Step 4: Simplify right side
    65,657.97x = 3,188,020,457.29
  5. Step 5: Solve for x
    x = 3,188,020,457.29/65,657.97
  6. Step 6: Final answer
    x = 48,554.97

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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.