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Finding the Fourth Proportional to 82,708.97, 124,046.51 and 23,528.75

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Solution

The fourth proportional to 82,708.97, 124,046.51 and 23,528.75 is: 35,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,708.97 : 124,046.51 = 23,528.75 : x
  2. Step 2: Convert to fraction form
    82,708.97/124,046.51 = 23,528.75/x
  3. Step 3: Cross multiply
    82,708.97x = 124,046.51 × 23,528.75
  4. Step 4: Simplify right side
    82,708.97x = 2,918,658,584.29
  5. Step 5: Solve for x
    x = 2,918,658,584.29/82,708.97
  6. Step 6: Final answer
    x = 35,288.30

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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.