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Finding the Fourth Proportional to 29,462.18, 44,167.06 and 10,738.70

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Solution

The fourth proportional to 29,462.18, 44,167.06 and 10,738.70 is: 16,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.18 : 44,167.06 = 10,738.70 : x
  2. Step 2: Convert to fraction form
    29,462.18/44,167.06 = 10,738.70/x
  3. Step 3: Cross multiply
    29,462.18x = 44,167.06 × 10,738.70
  4. Step 4: Simplify right side
    29,462.18x = 474,296,807.22
  5. Step 5: Solve for x
    x = 474,296,807.22/29,462.18
  6. Step 6: Final answer
    x = 16,098.50

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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.