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Finding the Fourth Proportional to 29,772.12, 41,083.02 and 16,343.31

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Solution

The fourth proportional to 29,772.12, 41,083.02 and 16,343.31 is: 22,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.12 : 41,083.02 = 16,343.31 : x
  2. Step 2: Convert to fraction form
    29,772.12/41,083.02 = 16,343.31/x
  3. Step 3: Cross multiply
    29,772.12x = 41,083.02 × 16,343.31
  4. Step 4: Simplify right side
    29,772.12x = 671,432,531.60
  5. Step 5: Solve for x
    x = 671,432,531.60/29,772.12
  6. Step 6: Final answer
    x = 22,552.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.