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Finding the Fourth Proportional to 31,340.16, 47,000.16 and 16,540.56

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Solution

The fourth proportional to 31,340.16, 47,000.16 and 16,540.56 is: 24,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.16 : 47,000.16 = 16,540.56 : x
  2. Step 2: Convert to fraction form
    31,340.16/47,000.16 = 16,540.56/x
  3. Step 3: Cross multiply
    31,340.16x = 47,000.16 × 16,540.56
  4. Step 4: Simplify right side
    31,340.16x = 777,408,966.49
  5. Step 5: Solve for x
    x = 777,408,966.49/31,340.16
  6. Step 6: Final answer
    x = 24,805.52

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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.