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Finding the Fourth Proportional to 29,791.31, 44,687.78 and 9,014.81

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Solution

The fourth proportional to 29,791.31, 44,687.78 and 9,014.81 is: 13,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,791.31 : 44,687.78 = 9,014.81 : x
  2. Step 2: Convert to fraction form
    29,791.31/44,687.78 = 9,014.81/x
  3. Step 3: Cross multiply
    29,791.31x = 44,687.78 × 9,014.81
  4. Step 4: Simplify right side
    29,791.31x = 402,851,800.95
  5. Step 5: Solve for x
    x = 402,851,800.95/29,791.31
  6. Step 6: Final answer
    x = 13,522.46

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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.