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Finding the Fourth Proportional to 29,947.71, 44,911.85 and 9,951.83

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Solution

The fourth proportional to 29,947.71, 44,911.85 and 9,951.83 is: 14,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947.71 : 44,911.85 = 9,951.83 : x
  2. Step 2: Convert to fraction form
    29,947.71/44,911.85 = 9,951.83/x
  3. Step 3: Cross multiply
    29,947.71x = 44,911.85 × 9,951.83
  4. Step 4: Simplify right side
    29,947.71x = 446,954,990.29
  5. Step 5: Solve for x
    x = 446,954,990.29/29,947.71
  6. Step 6: Final answer
    x = 14,924.51

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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.