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Finding the Fourth Proportional to 29,614.34, 44,444.82 and 13,811.24

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Solution

The fourth proportional to 29,614.34, 44,444.82 and 13,811.24 is: 20,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.34 : 44,444.82 = 13,811.24 : x
  2. Step 2: Convert to fraction form
    29,614.34/44,444.82 = 13,811.24/x
  3. Step 3: Cross multiply
    29,614.34x = 44,444.82 × 13,811.24
  4. Step 4: Simplify right side
    29,614.34x = 613,838,075.78
  5. Step 5: Solve for x
    x = 613,838,075.78/29,614.34
  6. Step 6: Final answer
    x = 20,727.73

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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.