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Finding the Fourth Proportional to 82,854, 124,286.40 and 23,694.48

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Solution

The fourth proportional to 82,854, 124,286.40 and 23,694.48 is: 35,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854 : 124,286.40 = 23,694.48 : x
  2. Step 2: Convert to fraction form
    82,854/124,286.40 = 23,694.48/x
  3. Step 3: Cross multiply
    82,854x = 124,286.40 × 23,694.48
  4. Step 4: Simplify right side
    82,854x = 2,944,901,619.07
  5. Step 5: Solve for x
    x = 2,944,901,619.07/82,854
  6. Step 6: Final answer
    x = 35,543.26

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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.