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Finding the Fourth Proportional to 31,756.20, 47,591.10 and 21,196.20

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Solution

The fourth proportional to 31,756.20, 47,591.10 and 21,196.20 is: 31,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.20 : 47,591.10 = 21,196.20 : x
  2. Step 2: Convert to fraction form
    31,756.20/47,591.10 = 21,196.20/x
  3. Step 3: Cross multiply
    31,756.20x = 47,591.10 × 21,196.20
  4. Step 4: Simplify right side
    31,756.20x = 1,008,750,473.82
  5. Step 5: Solve for x
    x = 1,008,750,473.82/31,756.20
  6. Step 6: Final answer
    x = 31,765.47

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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.