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Finding the Fourth Proportional to 29,610.50, 44,414.69 and 7,424.06

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Solution

The fourth proportional to 29,610.50, 44,414.69 and 7,424.06 is: 11,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,610.50 : 44,414.69 = 7,424.06 : x
  2. Step 2: Convert to fraction form
    29,610.50/44,414.69 = 7,424.06/x
  3. Step 3: Cross multiply
    29,610.50x = 44,414.69 × 7,424.06
  4. Step 4: Simplify right side
    29,610.50x = 329,737,064.25
  5. Step 5: Solve for x
    x = 329,737,064.25/29,610.50
  6. Step 6: Final answer
    x = 11,135.82

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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.