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Finding the Fourth Proportional to 49,642.92, 74,448.59 and 16,356.78

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Solution

The fourth proportional to 49,642.92, 74,448.59 and 16,356.78 is: 24,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,642.92 : 74,448.59 = 16,356.78 : x
  2. Step 2: Convert to fraction form
    49,642.92/74,448.59 = 16,356.78/x
  3. Step 3: Cross multiply
    49,642.92x = 74,448.59 × 16,356.78
  4. Step 4: Simplify right side
    49,642.92x = 1,217,739,126.16
  5. Step 5: Solve for x
    x = 1,217,739,126.16/49,642.92
  6. Step 6: Final answer
    x = 24,529.97

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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.