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Finding the Fourth Proportional to 82,694.40, 124,041.60 and 27,283.20

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Solution

The fourth proportional to 82,694.40, 124,041.60 and 27,283.20 is: 40,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,694.40 : 124,041.60 = 27,283.20 : x
  2. Step 2: Convert to fraction form
    82,694.40/124,041.60 = 27,283.20/x
  3. Step 3: Cross multiply
    82,694.40x = 124,041.60 × 27,283.20
  4. Step 4: Simplify right side
    82,694.40x = 3,384,251,781.12
  5. Step 5: Solve for x
    x = 3,384,251,781.12/82,694.40
  6. Step 6: Final answer
    x = 40,924.80

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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.