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Finding the Fourth Proportional to 32,238.75, 48,358.44 and 9,749.61

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Solution

The fourth proportional to 32,238.75, 48,358.44 and 9,749.61 is: 14,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.75 : 48,358.44 = 9,749.61 : x
  2. Step 2: Convert to fraction form
    32,238.75/48,358.44 = 9,749.61/x
  3. Step 3: Cross multiply
    32,238.75x = 48,358.44 × 9,749.61
  4. Step 4: Simplify right side
    32,238.75x = 471,475,930.21
  5. Step 5: Solve for x
    x = 471,475,930.21/32,238.75
  6. Step 6: Final answer
    x = 14,624.51

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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.