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Finding the Fourth Proportional to 29,732.96, 44,604.02 and 10,009.97

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Solution

The fourth proportional to 29,732.96, 44,604.02 and 10,009.97 is: 15,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732.96 : 44,604.02 = 10,009.97 : x
  2. Step 2: Convert to fraction form
    29,732.96/44,604.02 = 10,009.97/x
  3. Step 3: Cross multiply
    29,732.96x = 44,604.02 × 10,009.97
  4. Step 4: Simplify right side
    29,732.96x = 446,484,902.08
  5. Step 5: Solve for x
    x = 446,484,902.08/29,732.96
  6. Step 6: Final answer
    x = 15,016.50

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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.