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Finding the Fourth Proportional to 82,193.13, 123,290.52 and 26,032.17

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Solution

The fourth proportional to 82,193.13, 123,290.52 and 26,032.17 is: 39,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,193.13 : 123,290.52 = 26,032.17 : x
  2. Step 2: Convert to fraction form
    82,193.13/123,290.52 = 26,032.17/x
  3. Step 3: Cross multiply
    82,193.13x = 123,290.52 × 26,032.17
  4. Step 4: Simplify right side
    82,193.13x = 3,209,519,776.03
  5. Step 5: Solve for x
    x = 3,209,519,776.03/82,193.13
  6. Step 6: Final answer
    x = 39,048.52

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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.