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Finding the Fourth Proportional to 29,781.49, 44,576.25 and 16,433.50

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Solution

The fourth proportional to 29,781.49, 44,576.25 and 16,433.50 is: 24,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.49 : 44,576.25 = 16,433.50 : x
  2. Step 2: Convert to fraction form
    29,781.49/44,576.25 = 16,433.50/x
  3. Step 3: Cross multiply
    29,781.49x = 44,576.25 × 16,433.50
  4. Step 4: Simplify right side
    29,781.49x = 732,543,804.38
  5. Step 5: Solve for x
    x = 732,543,804.38/29,781.49
  6. Step 6: Final answer
    x = 24,597.29

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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.