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Finding the Fourth Proportional to 48,221.28, 72,331.92 and 23,580

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Solution

The fourth proportional to 48,221.28, 72,331.92 and 23,580 is: 35,370

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,221.28 : 72,331.92 = 23,580 : x
  2. Step 2: Convert to fraction form
    48,221.28/72,331.92 = 23,580/x
  3. Step 3: Cross multiply
    48,221.28x = 72,331.92 × 23,580
  4. Step 4: Simplify right side
    48,221.28x = 1,705,586,673.60
  5. Step 5: Solve for x
    x = 1,705,586,673.60/48,221.28
  6. Step 6: Final answer
    x = 35,370

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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.