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Finding the Fourth Proportional to 32,472.41, 48,669.42 and 15,807.47

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Solution

The fourth proportional to 32,472.41, 48,669.42 and 15,807.47 is: 23,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472.41 : 48,669.42 = 15,807.47 : x
  2. Step 2: Convert to fraction form
    32,472.41/48,669.42 = 15,807.47/x
  3. Step 3: Cross multiply
    32,472.41x = 48,669.42 × 15,807.47
  4. Step 4: Simplify right side
    32,472.41x = 769,340,396.57
  5. Step 5: Solve for x
    x = 769,340,396.57/32,472.41
  6. Step 6: Final answer
    x = 23,692.12

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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.