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Finding the Fourth Proportional to 29,649.76, 44,471.32 and 7,463.14

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Solution

The fourth proportional to 29,649.76, 44,471.32 and 7,463.14 is: 11,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.76 : 44,471.32 = 7,463.14 : x
  2. Step 2: Convert to fraction form
    29,649.76/44,471.32 = 7,463.14/x
  3. Step 3: Cross multiply
    29,649.76x = 44,471.32 × 7,463.14
  4. Step 4: Simplify right side
    29,649.76x = 331,895,687.14
  5. Step 5: Solve for x
    x = 331,895,687.14/29,649.76
  6. Step 6: Final answer
    x = 11,193.87

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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.