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Finding the Fourth Proportional to 31,751.52, 47,626.74 and 10,974.48

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Solution

The fourth proportional to 31,751.52, 47,626.74 and 10,974.48 is: 16,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.52 : 47,626.74 = 10,974.48 : x
  2. Step 2: Convert to fraction form
    31,751.52/47,626.74 = 10,974.48/x
  3. Step 3: Cross multiply
    31,751.52x = 47,626.74 × 10,974.48
  4. Step 4: Simplify right side
    31,751.52x = 522,678,705.60
  5. Step 5: Solve for x
    x = 522,678,705.60/31,751.52
  6. Step 6: Final answer
    x = 16,461.53

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1.5x scale

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.