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Finding the Fourth Proportional to 65,882.60, 98,823.90 and 36,285.20

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Solution

The fourth proportional to 65,882.60, 98,823.90 and 36,285.20 is: 54,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,882.60 : 98,823.90 = 36,285.20 : x
  2. Step 2: Convert to fraction form
    65,882.60/98,823.90 = 36,285.20/x
  3. Step 3: Cross multiply
    65,882.60x = 98,823.90 × 36,285.20
  4. Step 4: Simplify right side
    65,882.60x = 3,585,844,976.28
  5. Step 5: Solve for x
    x = 3,585,844,976.28/65,882.60
  6. Step 6: Final answer
    x = 54,427.80

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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.