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Finding the Fourth Proportional to 32,012.40, 48,013.20 and 9,819.75

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Solution

The fourth proportional to 32,012.40, 48,013.20 and 9,819.75 is: 14,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.40 : 48,013.20 = 9,819.75 : x
  2. Step 2: Convert to fraction form
    32,012.40/48,013.20 = 9,819.75/x
  3. Step 3: Cross multiply
    32,012.40x = 48,013.20 × 9,819.75
  4. Step 4: Simplify right side
    32,012.40x = 471,477,620.70
  5. Step 5: Solve for x
    x = 471,477,620.70/32,012.40
  6. Step 6: Final answer
    x = 14,727.97

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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.