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Finding the Fourth Proportional to 65,267.60, 97,877.10 and 25,816.55

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Solution

The fourth proportional to 65,267.60, 97,877.10 and 25,816.55 is: 38,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,267.60 : 97,877.10 = 25,816.55 : x
  2. Step 2: Convert to fraction form
    65,267.60/97,877.10 = 25,816.55/x
  3. Step 3: Cross multiply
    65,267.60x = 97,877.10 × 25,816.55
  4. Step 4: Simplify right side
    65,267.60x = 2,526,849,046.01
  5. Step 5: Solve for x
    x = 2,526,849,046.01/65,267.60
  6. Step 6: Final answer
    x = 38,715.21

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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.