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Finding the Fourth Proportional to 32,225.48, 48,340.52 and 13,486.65

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Solution

The fourth proportional to 32,225.48, 48,340.52 and 13,486.65 is: 20,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,225.48 : 48,340.52 = 13,486.65 : x
  2. Step 2: Convert to fraction form
    32,225.48/48,340.52 = 13,486.65/x
  3. Step 3: Cross multiply
    32,225.48x = 48,340.52 × 13,486.65
  4. Step 4: Simplify right side
    32,225.48x = 651,951,606.62
  5. Step 5: Solve for x
    x = 651,951,606.62/32,225.48
  6. Step 6: Final answer
    x = 20,230.94

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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.