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Finding the Fourth Proportional to 32,146.40, 48,212.17 and 12,158.03

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Solution

The fourth proportional to 32,146.40, 48,212.17 and 12,158.03 is: 18,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.40 : 48,212.17 = 12,158.03 : x
  2. Step 2: Convert to fraction form
    32,146.40/48,212.17 = 12,158.03/x
  3. Step 3: Cross multiply
    32,146.40x = 48,212.17 × 12,158.03
  4. Step 4: Simplify right side
    32,146.40x = 586,165,009.23
  5. Step 5: Solve for x
    x = 586,165,009.23/32,146.40
  6. Step 6: Final answer
    x = 18,234.23

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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.