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Finding the Fourth Proportional to 31,751.92, 47,621.40 and 12,023.68

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Solution

The fourth proportional to 31,751.92, 47,621.40 and 12,023.68 is: 18,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.92 : 47,621.40 = 12,023.68 : x
  2. Step 2: Convert to fraction form
    31,751.92/47,621.40 = 12,023.68/x
  3. Step 3: Cross multiply
    31,751.92x = 47,621.40 × 12,023.68
  4. Step 4: Simplify right side
    31,751.92x = 572,584,474.75
  5. Step 5: Solve for x
    x = 572,584,474.75/31,751.92
  6. Step 6: Final answer
    x = 18,033.07

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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.