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Finding the Fourth Proportional to 32,064.95, 48,105.72 and 13,338.96

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Solution

The fourth proportional to 32,064.95, 48,105.72 and 13,338.96 is: 20,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.95 : 48,105.72 = 13,338.96 : x
  2. Step 2: Convert to fraction form
    32,064.95/48,105.72 = 13,338.96/x
  3. Step 3: Cross multiply
    32,064.95x = 48,105.72 × 13,338.96
  4. Step 4: Simplify right side
    32,064.95x = 641,680,274.85
  5. Step 5: Solve for x
    x = 641,680,274.85/32,064.95
  6. Step 6: Final answer
    x = 20,011.89

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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.