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Finding the Fourth Proportional to 62,475.20, 93,745.20 and 27,418.40

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Solution

The fourth proportional to 62,475.20, 93,745.20 and 27,418.40 is: 41,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,475.20 : 93,745.20 = 27,418.40 : x
  2. Step 2: Convert to fraction form
    62,475.20/93,745.20 = 27,418.40/x
  3. Step 3: Cross multiply
    62,475.20x = 93,745.20 × 27,418.40
  4. Step 4: Simplify right side
    62,475.20x = 2,570,343,391.68
  5. Step 5: Solve for x
    x = 2,570,343,391.68/62,475.20
  6. Step 6: Final answer
    x = 41,141.82

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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.