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Finding the Fourth Proportional to 32,209.60, 48,411.60 and 27,932.80

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Solution

The fourth proportional to 32,209.60, 48,411.60 and 27,932.80 is: 41,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.60 : 48,411.60 = 27,932.80 : x
  2. Step 2: Convert to fraction form
    32,209.60/48,411.60 = 27,932.80/x
  3. Step 3: Cross multiply
    32,209.60x = 48,411.60 × 27,932.80
  4. Step 4: Simplify right side
    32,209.60x = 1,352,271,540.48
  5. Step 5: Solve for x
    x = 1,352,271,540.48/32,209.60
  6. Step 6: Final answer
    x = 41,983.49

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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.