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Finding the Fourth Proportional to 72,716.60, 109,082.10 and 25,324.40

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Solution

The fourth proportional to 72,716.60, 109,082.10 and 25,324.40 is: 37,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,716.60 : 109,082.10 = 25,324.40 : x
  2. Step 2: Convert to fraction form
    72,716.60/109,082.10 = 25,324.40/x
  3. Step 3: Cross multiply
    72,716.60x = 109,082.10 × 25,324.40
  4. Step 4: Simplify right side
    72,716.60x = 2,762,438,733.24
  5. Step 5: Solve for x
    x = 2,762,438,733.24/72,716.60
  6. Step 6: Final answer
    x = 37,989.11

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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.