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Finding the Fourth Proportional to 54,862.88, 82,232.10 and 25,219.46

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Solution

The fourth proportional to 54,862.88, 82,232.10 and 25,219.46 is: 37,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,862.88 : 82,232.10 = 25,219.46 : x
  2. Step 2: Convert to fraction form
    54,862.88/82,232.10 = 25,219.46/x
  3. Step 3: Cross multiply
    54,862.88x = 82,232.10 × 25,219.46
  4. Step 4: Simplify right side
    54,862.88x = 2,073,849,156.67
  5. Step 5: Solve for x
    x = 2,073,849,156.67/54,862.88
  6. Step 6: Final answer
    x = 37,800.59

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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.