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Finding the Fourth Proportional to 31,518.74, 47,246.22 and 20,432.48

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Solution

The fourth proportional to 31,518.74, 47,246.22 and 20,432.48 is: 30,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518.74 : 47,246.22 = 20,432.48 : x
  2. Step 2: Convert to fraction form
    31,518.74/47,246.22 = 20,432.48/x
  3. Step 3: Cross multiply
    31,518.74x = 47,246.22 × 20,432.48
  4. Step 4: Simplify right side
    31,518.74x = 965,357,208.99
  5. Step 5: Solve for x
    x = 965,357,208.99/31,518.74
  6. Step 6: Final answer
    x = 30,628.04

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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.