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Finding the Fourth Proportional to 65,348.42, 98,023.29 and 25,905.86

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Solution

The fourth proportional to 65,348.42, 98,023.29 and 25,905.86 is: 38,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348.42 : 98,023.29 = 25,905.86 : x
  2. Step 2: Convert to fraction form
    65,348.42/98,023.29 = 25,905.86/x
  3. Step 3: Cross multiply
    65,348.42x = 98,023.29 × 25,905.86
  4. Step 4: Simplify right side
    65,348.42x = 2,539,377,627.48
  5. Step 5: Solve for x
    x = 2,539,377,627.48/65,348.42
  6. Step 6: Final answer
    x = 38,859.05

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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.