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Finding the Fourth Proportional to 84,002, 126,027.60 and 24,839.20

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Solution

The fourth proportional to 84,002, 126,027.60 and 24,839.20 is: 37,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002 : 126,027.60 = 24,839.20 : x
  2. Step 2: Convert to fraction form
    84,002/126,027.60 = 24,839.20/x
  3. Step 3: Cross multiply
    84,002x = 126,027.60 × 24,839.20
  4. Step 4: Simplify right side
    84,002x = 3,130,424,761.92
  5. Step 5: Solve for x
    x = 3,130,424,761.92/84,002
  6. Step 6: Final answer
    x = 37,266.07

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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.