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Finding the Fourth Proportional to 29,576.39, 44,314.47 and 17,865

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Solution

The fourth proportional to 29,576.39, 44,314.47 and 17,865 is: 26,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576.39 : 44,314.47 = 17,865 : x
  2. Step 2: Convert to fraction form
    29,576.39/44,314.47 = 17,865/x
  3. Step 3: Cross multiply
    29,576.39x = 44,314.47 × 17,865
  4. Step 4: Simplify right side
    29,576.39x = 791,678,006.55
  5. Step 5: Solve for x
    x = 791,678,006.55/29,576.39
  6. Step 6: Final answer
    x = 26,767.23

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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.