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Finding the Fourth Proportional to 76,471.29, 114,737.31 and 34,339.95

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Solution

The fourth proportional to 76,471.29, 114,737.31 and 34,339.95 is: 51,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.29 : 114,737.31 = 34,339.95 : x
  2. Step 2: Convert to fraction form
    76,471.29/114,737.31 = 34,339.95/x
  3. Step 3: Cross multiply
    76,471.29x = 114,737.31 × 34,339.95
  4. Step 4: Simplify right side
    76,471.29x = 3,940,073,488.53
  5. Step 5: Solve for x
    x = 3,940,073,488.53/76,471.29
  6. Step 6: Final answer
    x = 51,523.57

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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.