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Finding the Fourth Proportional to 49,643.92, 74,450.08 and 16,357.78

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Solution

The fourth proportional to 49,643.92, 74,450.08 and 16,357.78 is: 24,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,643.92 : 74,450.08 = 16,357.78 : x
  2. Step 2: Convert to fraction form
    49,643.92/74,450.08 = 16,357.78/x
  3. Step 3: Cross multiply
    49,643.92x = 74,450.08 × 16,357.78
  4. Step 4: Simplify right side
    49,643.92x = 1,217,838,029.62
  5. Step 5: Solve for x
    x = 1,217,838,029.62/49,643.92
  6. Step 6: Final answer
    x = 24,531.46

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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.