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Finding the Fourth Proportional to 31,424.95, 47,043.87 and 20,299.20

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Solution

The fourth proportional to 31,424.95, 47,043.87 and 20,299.20 is: 30,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.95 : 47,043.87 = 20,299.20 : x
  2. Step 2: Convert to fraction form
    31,424.95/47,043.87 = 20,299.20/x
  3. Step 3: Cross multiply
    31,424.95x = 47,043.87 × 20,299.20
  4. Step 4: Simplify right side
    31,424.95x = 954,952,925.90
  5. Step 5: Solve for x
    x = 954,952,925.90/31,424.95
  6. Step 6: Final answer
    x = 30,388.37

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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.