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Finding the Fourth Proportional to 82,202.64, 123,294.32 and 23,043.08

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Solution

The fourth proportional to 82,202.64, 123,294.32 and 23,043.08 is: 34,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,202.64 : 123,294.32 = 23,043.08 : x
  2. Step 2: Convert to fraction form
    82,202.64/123,294.32 = 23,043.08/x
  3. Step 3: Cross multiply
    82,202.64x = 123,294.32 × 23,043.08
  4. Step 4: Simplify right side
    82,202.64x = 2,841,080,879.31
  5. Step 5: Solve for x
    x = 2,841,080,879.31/82,202.64
  6. Step 6: Final answer
    x = 34,561.92

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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.