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Finding the Fourth Proportional to 32,171.24, 48,266.58 and 12,442.88

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Solution

The fourth proportional to 32,171.24, 48,266.58 and 12,442.88 is: 18,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.24 : 48,266.58 = 12,442.88 : x
  2. Step 2: Convert to fraction form
    32,171.24/48,266.58 = 12,442.88/x
  3. Step 3: Cross multiply
    32,171.24x = 48,266.58 × 12,442.88
  4. Step 4: Simplify right side
    32,171.24x = 600,575,262.95
  5. Step 5: Solve for x
    x = 600,575,262.95/32,171.24
  6. Step 6: Final answer
    x = 18,668.08

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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.