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Finding the Fourth Proportional to 32,191.84, 48,281.86 and 13,466.89

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Solution

The fourth proportional to 32,191.84, 48,281.86 and 13,466.89 is: 20,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.84 : 48,281.86 = 13,466.89 : x
  2. Step 2: Convert to fraction form
    32,191.84/48,281.86 = 13,466.89/x
  3. Step 3: Cross multiply
    32,191.84x = 48,281.86 × 13,466.89
  4. Step 4: Simplify right side
    32,191.84x = 650,206,497.62
  5. Step 5: Solve for x
    x = 650,206,497.62/32,191.84
  6. Step 6: Final answer
    x = 20,197.87

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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.