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Finding the Fourth Proportional to 29,838.82, 44,757.05 and 10,117.42

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Solution

The fourth proportional to 29,838.82, 44,757.05 and 10,117.42 is: 15,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.82 : 44,757.05 = 10,117.42 : x
  2. Step 2: Convert to fraction form
    29,838.82/44,757.05 = 10,117.42/x
  3. Step 3: Cross multiply
    29,838.82x = 44,757.05 × 10,117.42
  4. Step 4: Simplify right side
    29,838.82x = 452,825,872.81
  5. Step 5: Solve for x
    x = 452,825,872.81/29,838.82
  6. Step 6: Final answer
    x = 15,175.73

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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.