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Finding the Fourth Proportional to 82,053.68, 123,069.56 and 22,884.38

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Solution

The fourth proportional to 82,053.68, 123,069.56 and 22,884.38 is: 34,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.68 : 123,069.56 = 22,884.38 : x
  2. Step 2: Convert to fraction form
    82,053.68/123,069.56 = 22,884.38/x
  3. Step 3: Cross multiply
    82,053.68x = 123,069.56 × 22,884.38
  4. Step 4: Simplify right side
    82,053.68x = 2,816,370,577.47
  5. Step 5: Solve for x
    x = 2,816,370,577.47/82,053.68
  6. Step 6: Final answer
    x = 34,323.51

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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.