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Finding the Fourth Proportional to 73,082.53, 109,640 and 23,165.61

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Solution

The fourth proportional to 73,082.53, 109,640 and 23,165.61 is: 34,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,082.53 : 109,640 = 23,165.61 : x
  2. Step 2: Convert to fraction form
    73,082.53/109,640 = 23,165.61/x
  3. Step 3: Cross multiply
    73,082.53x = 109,640 × 23,165.61
  4. Step 4: Simplify right side
    73,082.53x = 2,539,877,480.40
  5. Step 5: Solve for x
    x = 2,539,877,480.40/73,082.53
  6. Step 6: Final answer
    x = 34,753.55

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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.