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Finding the Fourth Proportional to 30,773.91, 42,456.57 and 23,605.11

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Solution

The fourth proportional to 30,773.91, 42,456.57 and 23,605.11 is: 32,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.91 : 42,456.57 = 23,605.11 : x
  2. Step 2: Convert to fraction form
    30,773.91/42,456.57 = 23,605.11/x
  3. Step 3: Cross multiply
    30,773.91x = 42,456.57 × 23,605.11
  4. Step 4: Simplify right side
    30,773.91x = 1,002,192,005.07
  5. Step 5: Solve for x
    x = 1,002,192,005.07/30,773.91
  6. Step 6: Final answer
    x = 32,566.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.