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Finding the Fourth Proportional to 49,710.96, 74,509.92 and 25,981.92

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Solution

The fourth proportional to 49,710.96, 74,509.92 and 25,981.92 is: 38,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,710.96 : 74,509.92 = 25,981.92 : x
  2. Step 2: Convert to fraction form
    49,710.96/74,509.92 = 25,981.92/x
  3. Step 3: Cross multiply
    49,710.96x = 74,509.92 × 25,981.92
  4. Step 4: Simplify right side
    49,710.96x = 1,935,910,780.65
  5. Step 5: Solve for x
    x = 1,935,910,780.65/49,710.96
  6. Step 6: Final answer
    x = 38,943.34

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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.