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Finding the Fourth Proportional to 54,868.73, 82,309.74 and 15,425.84

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Solution

The fourth proportional to 54,868.73, 82,309.74 and 15,425.84 is: 23,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,868.73 : 82,309.74 = 15,425.84 : x
  2. Step 2: Convert to fraction form
    54,868.73/82,309.74 = 15,425.84/x
  3. Step 3: Cross multiply
    54,868.73x = 82,309.74 × 15,425.84
  4. Step 4: Simplify right side
    54,868.73x = 1,269,697,027.61
  5. Step 5: Solve for x
    x = 1,269,697,027.61/54,868.73
  6. Step 6: Final answer
    x = 23,140.63

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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.