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Finding the Fourth Proportional to 32,167.16, 48,234.29 and 13,442.09

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Solution

The fourth proportional to 32,167.16, 48,234.29 and 13,442.09 is: 20,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.16 : 48,234.29 = 13,442.09 : x
  2. Step 2: Convert to fraction form
    32,167.16/48,234.29 = 13,442.09/x
  3. Step 3: Cross multiply
    32,167.16x = 48,234.29 × 13,442.09
  4. Step 4: Simplify right side
    32,167.16x = 648,369,358.88
  5. Step 5: Solve for x
    x = 648,369,358.88/32,167.16
  6. Step 6: Final answer
    x = 20,156.25

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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.