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Finding the Fourth Proportional to 32,054.13, 48,081.20 and 13,333.82

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Solution

The fourth proportional to 32,054.13, 48,081.20 and 13,333.82 is: 20,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.13 : 48,081.20 = 13,333.82 : x
  2. Step 2: Convert to fraction form
    32,054.13/48,081.20 = 13,333.82/x
  3. Step 3: Cross multiply
    32,054.13x = 48,081.20 × 13,333.82
  4. Step 4: Simplify right side
    32,054.13x = 641,105,759.11
  5. Step 5: Solve for x
    x = 641,105,759.11/32,054.13
  6. Step 6: Final answer
    x = 20,000.72

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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.