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Finding the Fourth Proportional to 38,647.40, 57,971.10 and 23,808.20

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Solution

The fourth proportional to 38,647.40, 57,971.10 and 23,808.20 is: 35,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647.40 : 57,971.10 = 23,808.20 : x
  2. Step 2: Convert to fraction form
    38,647.40/57,971.10 = 23,808.20/x
  3. Step 3: Cross multiply
    38,647.40x = 57,971.10 × 23,808.20
  4. Step 4: Simplify right side
    38,647.40x = 1,380,187,543.02
  5. Step 5: Solve for x
    x = 1,380,187,543.02/38,647.40
  6. Step 6: Final answer
    x = 35,712.30

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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.