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Finding the Fourth Proportional to 29,013.66, 43,462.17 and 15,133.50

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Solution

The fourth proportional to 29,013.66, 43,462.17 and 15,133.50 is: 22,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,013.66 : 43,462.17 = 15,133.50 : x
  2. Step 2: Convert to fraction form
    29,013.66/43,462.17 = 15,133.50/x
  3. Step 3: Cross multiply
    29,013.66x = 43,462.17 × 15,133.50
  4. Step 4: Simplify right side
    29,013.66x = 657,734,749.70
  5. Step 5: Solve for x
    x = 657,734,749.70/29,013.66
  6. Step 6: Final answer
    x = 22,669.83

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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.