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Finding the Fourth Proportional to 65,724.40, 98,627.10 and 26,277.40

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Solution

The fourth proportional to 65,724.40, 98,627.10 and 26,277.40 is: 39,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724.40 : 98,627.10 = 26,277.40 : x
  2. Step 2: Convert to fraction form
    65,724.40/98,627.10 = 26,277.40/x
  3. Step 3: Cross multiply
    65,724.40x = 98,627.10 × 26,277.40
  4. Step 4: Simplify right side
    65,724.40x = 2,591,663,757.54
  5. Step 5: Solve for x
    x = 2,591,663,757.54/65,724.40
  6. Step 6: Final answer
    x = 39,432.29

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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.