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Finding the Fourth Proportional to 32,665.41, 48,993.50 and 10,475.90

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Solution

The fourth proportional to 32,665.41, 48,993.50 and 10,475.90 is: 15,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,665.41 : 48,993.50 = 10,475.90 : x
  2. Step 2: Convert to fraction form
    32,665.41/48,993.50 = 10,475.90/x
  3. Step 3: Cross multiply
    32,665.41x = 48,993.50 × 10,475.90
  4. Step 4: Simplify right side
    32,665.41x = 513,251,034.43
  5. Step 5: Solve for x
    x = 513,251,034.43/32,665.41
  6. Step 6: Final answer
    x = 15,712.37

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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.