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Finding the Fourth Proportional to 59,022, 81,451.17 and 33,871.50

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Solution

The fourth proportional to 59,022, 81,451.17 and 33,871.50 is: 46,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,022 : 81,451.17 = 33,871.50 : x
  2. Step 2: Convert to fraction form
    59,022/81,451.17 = 33,871.50/x
  3. Step 3: Cross multiply
    59,022x = 81,451.17 × 33,871.50
  4. Step 4: Simplify right side
    59,022x = 2,758,873,304.66
  5. Step 5: Solve for x
    x = 2,758,873,304.66/59,022
  6. Step 6: Final answer
    x = 46,743.13

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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.