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Finding the Fourth Proportional to 54,787.84, 82,186.88 and 25,213.92

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Solution

The fourth proportional to 54,787.84, 82,186.88 and 25,213.92 is: 37,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,787.84 : 82,186.88 = 25,213.92 : x
  2. Step 2: Convert to fraction form
    54,787.84/82,186.88 = 25,213.92/x
  3. Step 3: Cross multiply
    54,787.84x = 82,186.88 × 25,213.92
  4. Step 4: Simplify right side
    54,787.84x = 2,072,253,417.37
  5. Step 5: Solve for x
    x = 2,072,253,417.37/54,787.84
  6. Step 6: Final answer
    x = 37,823.24

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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.