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Finding the Fourth Proportional to 32,006.30, 48,009.45 and 11,231.90

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Solution

The fourth proportional to 32,006.30, 48,009.45 and 11,231.90 is: 16,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.30 : 48,009.45 = 11,231.90 : x
  2. Step 2: Convert to fraction form
    32,006.30/48,009.45 = 11,231.90/x
  3. Step 3: Cross multiply
    32,006.30x = 48,009.45 × 11,231.90
  4. Step 4: Simplify right side
    32,006.30x = 539,237,341.46
  5. Step 5: Solve for x
    x = 539,237,341.46/32,006.30
  6. Step 6: Final answer
    x = 16,847.85

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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.