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Finding the Fourth Proportional to 32,482.88, 48,708.96 and 14,947.52

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Solution

The fourth proportional to 32,482.88, 48,708.96 and 14,947.52 is: 22,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.88 : 48,708.96 = 14,947.52 : x
  2. Step 2: Convert to fraction form
    32,482.88/48,708.96 = 14,947.52/x
  3. Step 3: Cross multiply
    32,482.88x = 48,708.96 × 14,947.52
  4. Step 4: Simplify right side
    32,482.88x = 728,078,153.78
  5. Step 5: Solve for x
    x = 728,078,153.78/32,482.88
  6. Step 6: Final answer
    x = 22,414.21

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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.