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Finding the Fourth Proportional to 54,809.40, 82,214.10 and 29,839.80

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Solution

The fourth proportional to 54,809.40, 82,214.10 and 29,839.80 is: 44,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.40 : 82,214.10 = 29,839.80 : x
  2. Step 2: Convert to fraction form
    54,809.40/82,214.10 = 29,839.80/x
  3. Step 3: Cross multiply
    54,809.40x = 82,214.10 × 29,839.80
  4. Step 4: Simplify right side
    54,809.40x = 2,453,252,301.18
  5. Step 5: Solve for x
    x = 2,453,252,301.18/54,809.40
  6. Step 6: Final answer
    x = 44,759.70

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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.