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Finding the Fourth Proportional to 31,129.52, 42,965.44 and 18,378

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Solution

The fourth proportional to 31,129.52, 42,965.44 and 18,378 is: 25,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.52 : 42,965.44 = 18,378 : x
  2. Step 2: Convert to fraction form
    31,129.52/42,965.44 = 18,378/x
  3. Step 3: Cross multiply
    31,129.52x = 42,965.44 × 18,378
  4. Step 4: Simplify right side
    31,129.52x = 789,618,856.32
  5. Step 5: Solve for x
    x = 789,618,856.32/31,129.52
  6. Step 6: Final answer
    x = 25,365.60

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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.