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Finding the Fourth Proportional to 31,573.32, 47,327.94 and 20,487.06

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Solution

The fourth proportional to 31,573.32, 47,327.94 and 20,487.06 is: 30,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.32 : 47,327.94 = 20,487.06 : x
  2. Step 2: Convert to fraction form
    31,573.32/47,327.94 = 20,487.06/x
  3. Step 3: Cross multiply
    31,573.32x = 47,327.94 × 20,487.06
  4. Step 4: Simplify right side
    31,573.32x = 969,610,346.46
  5. Step 5: Solve for x
    x = 969,610,346.46/31,573.32
  6. Step 6: Final answer
    x = 30,709.80

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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.