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Finding the Fourth Proportional to 54,254.80, 74,868.06 and 30,376

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Solution

The fourth proportional to 54,254.80, 74,868.06 and 30,376 is: 41,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,254.80 : 74,868.06 = 30,376 : x
  2. Step 2: Convert to fraction form
    54,254.80/74,868.06 = 30,376/x
  3. Step 3: Cross multiply
    54,254.80x = 74,868.06 × 30,376
  4. Step 4: Simplify right side
    54,254.80x = 2,274,192,190.56
  5. Step 5: Solve for x
    x = 2,274,192,190.56/54,254.80
  6. Step 6: Final answer
    x = 41,916.88

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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.