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Finding the Fourth Proportional to 132,584.31, 198,758.52 and 48,328.65

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Solution

The fourth proportional to 132,584.31, 198,758.52 and 48,328.65 is: 72,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,584.31 : 198,758.52 = 48,328.65 : x
  2. Step 2: Convert to fraction form
    132,584.31/198,758.52 = 48,328.65/x
  3. Step 3: Cross multiply
    132,584.31x = 198,758.52 × 48,328.65
  4. Step 4: Simplify right side
    132,584.31x = 9,605,730,947.60
  5. Step 5: Solve for x
    x = 9,605,730,947.60/132,584.31
  6. Step 6: Final answer
    x = 72,449.98

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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.