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Finding the Fourth Proportional to 65,006.20, 97,520.10 and 25,564.60

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Solution

The fourth proportional to 65,006.20, 97,520.10 and 25,564.60 is: 38,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006.20 : 97,520.10 = 25,564.60 : x
  2. Step 2: Convert to fraction form
    65,006.20/97,520.10 = 25,564.60/x
  3. Step 3: Cross multiply
    65,006.20x = 97,520.10 × 25,564.60
  4. Step 4: Simplify right side
    65,006.20x = 2,493,062,348.46
  5. Step 5: Solve for x
    x = 2,493,062,348.46/65,006.20
  6. Step 6: Final answer
    x = 38,351.15

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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.