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Finding the Fourth Proportional to 116,882.92, 175,391.34 and 49,409.56

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Solution

The fourth proportional to 116,882.92, 175,391.34 and 49,409.56 is: 74,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,882.92 : 175,391.34 = 49,409.56 : x
  2. Step 2: Convert to fraction form
    116,882.92/175,391.34 = 49,409.56/x
  3. Step 3: Cross multiply
    116,882.92x = 175,391.34 × 49,409.56
  4. Step 4: Simplify right side
    116,882.92x = 8,666,008,937.21
  5. Step 5: Solve for x
    x = 8,666,008,937.21/116,882.92
  6. Step 6: Final answer
    x = 74,142.65

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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.