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Finding the Fourth Proportional to 31,560.48, 47,308.76 and 20,474.20

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Solution

The fourth proportional to 31,560.48, 47,308.76 and 20,474.20 is: 30,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560.48 : 47,308.76 = 20,474.20 : x
  2. Step 2: Convert to fraction form
    31,560.48/47,308.76 = 20,474.20/x
  3. Step 3: Cross multiply
    31,560.48x = 47,308.76 × 20,474.20
  4. Step 4: Simplify right side
    31,560.48x = 968,609,013.99
  5. Step 5: Solve for x
    x = 968,609,013.99/31,560.48
  6. Step 6: Final answer
    x = 30,690.57

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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.