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Finding the Fourth Proportional to 29,772.54, 41,083.52 and 16,343.78

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Solution

The fourth proportional to 29,772.54, 41,083.52 and 16,343.78 is: 22,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.54 : 41,083.52 = 16,343.78 : x
  2. Step 2: Convert to fraction form
    29,772.54/41,083.52 = 16,343.78/x
  3. Step 3: Cross multiply
    29,772.54x = 41,083.52 × 16,343.78
  4. Step 4: Simplify right side
    29,772.54x = 671,459,725.37
  5. Step 5: Solve for x
    x = 671,459,725.37/29,772.54
  6. Step 6: Final answer
    x = 22,552.99

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