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Finding the Fourth Proportional to 32,384.39, 48,578.31 and 10,199.50

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Solution

The fourth proportional to 32,384.39, 48,578.31 and 10,199.50 is: 15,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.39 : 48,578.31 = 10,199.50 : x
  2. Step 2: Convert to fraction form
    32,384.39/48,578.31 = 10,199.50/x
  3. Step 3: Cross multiply
    32,384.39x = 48,578.31 × 10,199.50
  4. Step 4: Simplify right side
    32,384.39x = 495,474,472.85
  5. Step 5: Solve for x
    x = 495,474,472.85/32,384.39
  6. Step 6: Final answer
    x = 15,299.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.