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Finding the Fourth Proportional to 84,463.54, 126,442.90 and 51,082.63

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Solution

The fourth proportional to 84,463.54, 126,442.90 and 51,082.63 is: 76,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,463.54 : 126,442.90 = 51,082.63 : x
  2. Step 2: Convert to fraction form
    84,463.54/126,442.90 = 51,082.63/x
  3. Step 3: Cross multiply
    84,463.54x = 126,442.90 × 51,082.63
  4. Step 4: Simplify right side
    84,463.54x = 6,459,035,876.83
  5. Step 5: Solve for x
    x = 6,459,035,876.83/84,463.54
  6. Step 6: Final answer
    x = 76,471.29

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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.