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Finding the Fourth Proportional to 71,082.28, 106,623.82 and 29,529.32

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Solution

The fourth proportional to 71,082.28, 106,623.82 and 29,529.32 is: 44,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,082.28 : 106,623.82 = 29,529.32 : x
  2. Step 2: Convert to fraction form
    71,082.28/106,623.82 = 29,529.32/x
  3. Step 3: Cross multiply
    71,082.28x = 106,623.82 × 29,529.32
  4. Step 4: Simplify right side
    71,082.28x = 3,148,528,900.40
  5. Step 5: Solve for x
    x = 3,148,528,900.40/71,082.28
  6. Step 6: Final answer
    x = 44,294.15

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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.