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Finding the Fourth Proportional to 29,649.75, 44,471.33 and 7,463.13

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Solution

The fourth proportional to 29,649.75, 44,471.33 and 7,463.13 is: 11,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.75 : 44,471.33 = 7,463.13 : x
  2. Step 2: Convert to fraction form
    29,649.75/44,471.33 = 7,463.13/x
  3. Step 3: Cross multiply
    29,649.75x = 44,471.33 × 7,463.13
  4. Step 4: Simplify right side
    29,649.75x = 331,895,279.75
  5. Step 5: Solve for x
    x = 331,895,279.75/29,649.75
  6. Step 6: Final answer
    x = 11,193.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.