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Finding the Fourth Proportional to 82,217.94, 123,332.31 and 23,055.90

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Solution

The fourth proportional to 82,217.94, 123,332.31 and 23,055.90 is: 34,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.94 : 123,332.31 = 23,055.90 : x
  2. Step 2: Convert to fraction form
    82,217.94/123,332.31 = 23,055.90/x
  3. Step 3: Cross multiply
    82,217.94x = 123,332.31 × 23,055.90
  4. Step 4: Simplify right side
    82,217.94x = 2,843,537,406.13
  5. Step 5: Solve for x
    x = 2,843,537,406.13/82,217.94
  6. Step 6: Final answer
    x = 34,585.36

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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.