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Finding the Fourth Proportional to 49,472.64, 74,191.68 and 29,754.72

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Solution

The fourth proportional to 49,472.64, 74,191.68 and 29,754.72 is: 44,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472.64 : 74,191.68 = 29,754.72 : x
  2. Step 2: Convert to fraction form
    49,472.64/74,191.68 = 29,754.72/x
  3. Step 3: Cross multiply
    49,472.64x = 74,191.68 × 29,754.72
  4. Step 4: Simplify right side
    49,472.64x = 2,207,552,664.73
  5. Step 5: Solve for x
    x = 2,207,552,664.73/49,472.64
  6. Step 6: Final answer
    x = 44,621.69

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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.