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Finding the Fourth Proportional to 49,542, 74,324.32 and 16,264.88

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Solution

The fourth proportional to 49,542, 74,324.32 and 16,264.88 is: 24,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542 : 74,324.32 = 16,264.88 : x
  2. Step 2: Convert to fraction form
    49,542/74,324.32 = 16,264.88/x
  3. Step 3: Cross multiply
    49,542x = 74,324.32 × 16,264.88
  4. Step 4: Simplify right side
    49,542x = 1,208,876,145.88
  5. Step 5: Solve for x
    x = 1,208,876,145.88/49,542
  6. Step 6: Final answer
    x = 24,401.04

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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.