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Finding the Fourth Proportional to 31,409.70, 47,114.55 and 8,034.90

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Solution

The fourth proportional to 31,409.70, 47,114.55 and 8,034.90 is: 12,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.70 : 47,114.55 = 8,034.90 : x
  2. Step 2: Convert to fraction form
    31,409.70/47,114.55 = 8,034.90/x
  3. Step 3: Cross multiply
    31,409.70x = 47,114.55 × 8,034.90
  4. Step 4: Simplify right side
    31,409.70x = 378,560,697.80
  5. Step 5: Solve for x
    x = 378,560,697.80/31,409.70
  6. Step 6: Final answer
    x = 12,052.35

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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.