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Finding the Fourth Proportional to 82,215.29, 123,335.85 and 34,830.51

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Solution

The fourth proportional to 82,215.29, 123,335.85 and 34,830.51 is: 52,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215.29 : 123,335.85 = 34,830.51 : x
  2. Step 2: Convert to fraction form
    82,215.29/123,335.85 = 34,830.51/x
  3. Step 3: Cross multiply
    82,215.29x = 123,335.85 × 34,830.51
  4. Step 4: Simplify right side
    82,215.29x = 4,295,850,556.78
  5. Step 5: Solve for x
    x = 4,295,850,556.78/82,215.29
  6. Step 6: Final answer
    x = 52,251.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.