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Finding the Fourth Proportional to 31,714.80, 47,557.80 and 11,986.80

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Solution

The fourth proportional to 31,714.80, 47,557.80 and 11,986.80 is: 17,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.80 : 47,557.80 = 11,986.80 : x
  2. Step 2: Convert to fraction form
    31,714.80/47,557.80 = 11,986.80/x
  3. Step 3: Cross multiply
    31,714.80x = 47,557.80 × 11,986.80
  4. Step 4: Simplify right side
    31,714.80x = 570,065,837.04
  5. Step 5: Solve for x
    x = 570,065,837.04/31,714.80
  6. Step 6: Final answer
    x = 17,974.76

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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.