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Finding the Fourth Proportional to 65,902.66, 90,945.15 and 35,687.88

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Solution

The fourth proportional to 65,902.66, 90,945.15 and 35,687.88 is: 49,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.66 : 90,945.15 = 35,687.88 : x
  2. Step 2: Convert to fraction form
    65,902.66/90,945.15 = 35,687.88/x
  3. Step 3: Cross multiply
    65,902.66x = 90,945.15 × 35,687.88
  4. Step 4: Simplify right side
    65,902.66x = 3,245,639,599.78
  5. Step 5: Solve for x
    x = 3,245,639,599.78/65,902.66
  6. Step 6: Final answer
    x = 49,248.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.