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Finding the Fourth Proportional to 70,842.64, 106,238.41 and 23,448.97

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Solution

The fourth proportional to 70,842.64, 106,238.41 and 23,448.97 is: 35,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842.64 : 106,238.41 = 23,448.97 : x
  2. Step 2: Convert to fraction form
    70,842.64/106,238.41 = 23,448.97/x
  3. Step 3: Cross multiply
    70,842.64x = 106,238.41 × 23,448.97
  4. Step 4: Simplify right side
    70,842.64x = 2,491,181,288.94
  5. Step 5: Solve for x
    x = 2,491,181,288.94/70,842.64
  6. Step 6: Final answer
    x = 35,165.00

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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.