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Finding the Fourth Proportional to 31,442.43, 47,165.03 and 10,384.32

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Solution

The fourth proportional to 31,442.43, 47,165.03 and 10,384.32 is: 15,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.43 : 47,165.03 = 10,384.32 : x
  2. Step 2: Convert to fraction form
    31,442.43/47,165.03 = 10,384.32/x
  3. Step 3: Cross multiply
    31,442.43x = 47,165.03 × 10,384.32
  4. Step 4: Simplify right side
    31,442.43x = 489,776,764.33
  5. Step 5: Solve for x
    x = 489,776,764.33/31,442.43
  6. Step 6: Final answer
    x = 15,576.94

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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.