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Finding the Fourth Proportional to 30,805.57, 42,523.21 and 23,986.11

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Solution

The fourth proportional to 30,805.57, 42,523.21 and 23,986.11 is: 33,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.57 : 42,523.21 = 23,986.11 : x
  2. Step 2: Convert to fraction form
    30,805.57/42,523.21 = 23,986.11/x
  3. Step 3: Cross multiply
    30,805.57x = 42,523.21 × 23,986.11
  4. Step 4: Simplify right side
    30,805.57x = 1,019,966,392.61
  5. Step 5: Solve for x
    x = 1,019,966,392.61/30,805.57
  6. Step 6: Final answer
    x = 33,109.80

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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.