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Finding the Fourth Proportional to 29,361.76, 44,048.14 and 9,641.43

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Solution

The fourth proportional to 29,361.76, 44,048.14 and 9,641.43 is: 14,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,361.76 : 44,048.14 = 9,641.43 : x
  2. Step 2: Convert to fraction form
    29,361.76/44,048.14 = 9,641.43/x
  3. Step 3: Cross multiply
    29,361.76x = 44,048.14 × 9,641.43
  4. Step 4: Simplify right side
    29,361.76x = 424,687,034.34
  5. Step 5: Solve for x
    x = 424,687,034.34/29,361.76
  6. Step 6: Final answer
    x = 14,463.95

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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.