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Finding the Fourth Proportional to 32,138.32, 48,209.73 and 9,948.78

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Solution

The fourth proportional to 32,138.32, 48,209.73 and 9,948.78 is: 14,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.32 : 48,209.73 = 9,948.78 : x
  2. Step 2: Convert to fraction form
    32,138.32/48,209.73 = 9,948.78/x
  3. Step 3: Cross multiply
    32,138.32x = 48,209.73 × 9,948.78
  4. Step 4: Simplify right side
    32,138.32x = 479,627,997.63
  5. Step 5: Solve for x
    x = 479,627,997.63/32,138.32
  6. Step 6: Final answer
    x = 14,923.87

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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.