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Finding the Fourth Proportional to 83,082.90, 124,665.02 and 51,484.50

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Solution

The fourth proportional to 83,082.90, 124,665.02 and 51,484.50 is: 77,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.90 : 124,665.02 = 51,484.50 : x
  2. Step 2: Convert to fraction form
    83,082.90/124,665.02 = 51,484.50/x
  3. Step 3: Cross multiply
    83,082.90x = 124,665.02 × 51,484.50
  4. Step 4: Simplify right side
    83,082.90x = 6,418,315,964.77
  5. Step 5: Solve for x
    x = 6,418,315,964.77/83,082.90
  6. Step 6: Final answer
    x = 77,251.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.