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Finding the Fourth Proportional to 82,873.50, 114,335.44 and 54,209.51

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Solution

The fourth proportional to 82,873.50, 114,335.44 and 54,209.51 is: 74,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873.50 : 114,335.44 = 54,209.51 : x
  2. Step 2: Convert to fraction form
    82,873.50/114,335.44 = 54,209.51/x
  3. Step 3: Cross multiply
    82,873.50x = 114,335.44 × 54,209.51
  4. Step 4: Simplify right side
    82,873.50x = 6,198,067,335.31
  5. Step 5: Solve for x
    x = 6,198,067,335.31/82,873.50
  6. Step 6: Final answer
    x = 74,789.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.