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Finding the Fourth Proportional to 32,188.96, 48,281.37 and 11,128.42

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Solution

The fourth proportional to 32,188.96, 48,281.37 and 11,128.42 is: 16,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188.96 : 48,281.37 = 11,128.42 : x
  2. Step 2: Convert to fraction form
    32,188.96/48,281.37 = 11,128.42/x
  3. Step 3: Cross multiply
    32,188.96x = 48,281.37 × 11,128.42
  4. Step 4: Simplify right side
    32,188.96x = 537,295,363.54
  5. Step 5: Solve for x
    x = 537,295,363.54/32,188.96
  6. Step 6: Final answer
    x = 16,691.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.