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Finding the Fourth Proportional to 65,718.60, 98,432.10 and 26,255.40

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Solution

The fourth proportional to 65,718.60, 98,432.10 and 26,255.40 is: 39,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718.60 : 98,432.10 = 26,255.40 : x
  2. Step 2: Convert to fraction form
    65,718.60/98,432.10 = 26,255.40/x
  3. Step 3: Cross multiply
    65,718.60x = 98,432.10 × 26,255.40
  4. Step 4: Simplify right side
    65,718.60x = 2,584,374,158.34
  5. Step 5: Solve for x
    x = 2,584,374,158.34/65,718.60
  6. Step 6: Final answer
    x = 39,324.85

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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.