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Finding the Fourth Proportional to 77,313.89, 115,934.12 and 29,951.17

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Solution

The fourth proportional to 77,313.89, 115,934.12 and 29,951.17 is: 44,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,313.89 : 115,934.12 = 29,951.17 : x
  2. Step 2: Convert to fraction form
    77,313.89/115,934.12 = 29,951.17/x
  3. Step 3: Cross multiply
    77,313.89x = 115,934.12 × 29,951.17
  4. Step 4: Simplify right side
    77,313.89x = 3,472,362,209.65
  5. Step 5: Solve for x
    x = 3,472,362,209.65/77,313.89
  6. Step 6: Final answer
    x = 44,912.53

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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.