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Finding the Fourth Proportional to 32,187.60, 48,287.88 and 11,128.44

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Solution

The fourth proportional to 32,187.60, 48,287.88 and 11,128.44 is: 16,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187.60 : 48,287.88 = 11,128.44 : x
  2. Step 2: Convert to fraction form
    32,187.60/48,287.88 = 11,128.44/x
  3. Step 3: Cross multiply
    32,187.60x = 48,287.88 × 11,128.44
  4. Step 4: Simplify right side
    32,187.60x = 537,368,775.31
  5. Step 5: Solve for x
    x = 537,368,775.31/32,187.60
  6. Step 6: Final answer
    x = 16,694.90

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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.