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Finding the Fourth Proportional to 70,471.77, 105,704.88 and 23,090.41

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Solution

The fourth proportional to 70,471.77, 105,704.88 and 23,090.41 is: 34,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.77 : 105,704.88 = 23,090.41 : x
  2. Step 2: Convert to fraction form
    70,471.77/105,704.88 = 23,090.41/x
  3. Step 3: Cross multiply
    70,471.77x = 105,704.88 × 23,090.41
  4. Step 4: Simplify right side
    70,471.77x = 2,440,769,018.20
  5. Step 5: Solve for x
    x = 2,440,769,018.20/70,471.77
  6. Step 6: Final answer
    x = 34,634.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.