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Finding the Fourth Proportional to 32,581.82, 48,879.84 and 12,591.02

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Solution

The fourth proportional to 32,581.82, 48,879.84 and 12,591.02 is: 18,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,581.82 : 48,879.84 = 12,591.02 : x
  2. Step 2: Convert to fraction form
    32,581.82/48,879.84 = 12,591.02/x
  3. Step 3: Cross multiply
    32,581.82x = 48,879.84 × 12,591.02
  4. Step 4: Simplify right side
    32,581.82x = 615,447,043.04
  5. Step 5: Solve for x
    x = 615,447,043.04/32,581.82
  6. Step 6: Final answer
    x = 18,889.28

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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.