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Finding the Fourth Proportional to 65,957.56, 98,948.94 and 26,517.88

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Solution

The fourth proportional to 65,957.56, 98,948.94 and 26,517.88 is: 39,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,957.56 : 98,948.94 = 26,517.88 : x
  2. Step 2: Convert to fraction form
    65,957.56/98,948.94 = 26,517.88/x
  3. Step 3: Cross multiply
    65,957.56x = 98,948.94 × 26,517.88
  4. Step 4: Simplify right side
    65,957.56x = 2,623,916,117.05
  5. Step 5: Solve for x
    x = 2,623,916,117.05/65,957.56
  6. Step 6: Final answer
    x = 39,781.89

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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.