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Finding the Fourth Proportional to 31,809.40, 47,714.10 and 27,921.40

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Solution

The fourth proportional to 31,809.40, 47,714.10 and 27,921.40 is: 41,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,809.40 : 47,714.10 = 27,921.40 : x
  2. Step 2: Convert to fraction form
    31,809.40/47,714.10 = 27,921.40/x
  3. Step 3: Cross multiply
    31,809.40x = 47,714.10 × 27,921.40
  4. Step 4: Simplify right side
    31,809.40x = 1,332,244,471.74
  5. Step 5: Solve for x
    x = 1,332,244,471.74/31,809.40
  6. Step 6: Final answer
    x = 41,882.10

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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.