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Finding the Fourth Proportional to 81,874.82, 112,987.71 and 46,065.44

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Solution

The fourth proportional to 81,874.82, 112,987.71 and 46,065.44 is: 63,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.82 : 112,987.71 = 46,065.44 : x
  2. Step 2: Convert to fraction form
    81,874.82/112,987.71 = 46,065.44/x
  3. Step 3: Cross multiply
    81,874.82x = 112,987.71 × 46,065.44
  4. Step 4: Simplify right side
    81,874.82x = 5,204,828,010.80
  5. Step 5: Solve for x
    x = 5,204,828,010.80/81,874.82
  6. Step 6: Final answer
    x = 63,570.56

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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.