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Finding the Fourth Proportional to 81,067.47, 111,841.34 and 47,070.15

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Solution

The fourth proportional to 81,067.47, 111,841.34 and 47,070.15 is: 64,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,067.47 : 111,841.34 = 47,070.15 : x
  2. Step 2: Convert to fraction form
    81,067.47/111,841.34 = 47,070.15/x
  3. Step 3: Cross multiply
    81,067.47x = 111,841.34 × 47,070.15
  4. Step 4: Simplify right side
    81,067.47x = 5,264,388,414.65
  5. Step 5: Solve for x
    x = 5,264,388,414.65/81,067.47
  6. Step 6: Final answer
    x = 64,938.36

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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.