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Finding the Fourth Proportional to 32,167.80, 48,252.06 and 13,450.68

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Solution

The fourth proportional to 32,167.80, 48,252.06 and 13,450.68 is: 20,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.80 : 48,252.06 = 13,450.68 : x
  2. Step 2: Convert to fraction form
    32,167.80/48,252.06 = 13,450.68/x
  3. Step 3: Cross multiply
    32,167.80x = 48,252.06 × 13,450.68
  4. Step 4: Simplify right side
    32,167.80x = 649,023,018.40
  5. Step 5: Solve for x
    x = 649,023,018.40/32,167.80
  6. Step 6: Final answer
    x = 20,176.17

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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.