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Finding the Fourth Proportional to 34,393.81, 47,471.90 and 20,972.46

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Solution

The fourth proportional to 34,393.81, 47,471.90 and 20,972.46 is: 28,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,393.81 : 47,471.90 = 20,972.46 : x
  2. Step 2: Convert to fraction form
    34,393.81/47,471.90 = 20,972.46/x
  3. Step 3: Cross multiply
    34,393.81x = 47,471.90 × 20,972.46
  4. Step 4: Simplify right side
    34,393.81x = 995,602,523.87
  5. Step 5: Solve for x
    x = 995,602,523.87/34,393.81
  6. Step 6: Final answer
    x = 28,947.14

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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.