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Finding the Fourth Proportional to 37,862.16, 56,793.24 and 23,982

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Solution

The fourth proportional to 37,862.16, 56,793.24 and 23,982 is: 35,973

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,862.16 : 56,793.24 = 23,982 : x
  2. Step 2: Convert to fraction form
    37,862.16/56,793.24 = 23,982/x
  3. Step 3: Cross multiply
    37,862.16x = 56,793.24 × 23,982
  4. Step 4: Simplify right side
    37,862.16x = 1,362,015,481.68
  5. Step 5: Solve for x
    x = 1,362,015,481.68/37,862.16
  6. Step 6: Final answer
    x = 35,973

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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.