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Finding the Fourth Proportional to 47,652.50, 71,388.52 and 31,809.76

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Solution

The fourth proportional to 47,652.50, 71,388.52 and 31,809.76 is: 47,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652.50 : 71,388.52 = 31,809.76 : x
  2. Step 2: Convert to fraction form
    47,652.50/71,388.52 = 31,809.76/x
  3. Step 3: Cross multiply
    47,652.50x = 71,388.52 × 31,809.76
  4. Step 4: Simplify right side
    47,652.50x = 2,270,851,687.96
  5. Step 5: Solve for x
    x = 2,270,851,687.96/47,652.50
  6. Step 6: Final answer
    x = 47,654.41

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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.