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Finding the Fourth Proportional to 70,242.70, 96,926.97 and 41,563.24

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Solution

The fourth proportional to 70,242.70, 96,926.97 and 41,563.24 is: 57,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,242.70 : 96,926.97 = 41,563.24 : x
  2. Step 2: Convert to fraction form
    70,242.70/96,926.97 = 41,563.24/x
  3. Step 3: Cross multiply
    70,242.70x = 96,926.97 × 41,563.24
  4. Step 4: Simplify right side
    70,242.70x = 4,028,598,916.58
  5. Step 5: Solve for x
    x = 4,028,598,916.58/70,242.70
  6. Step 6: Final answer
    x = 57,352.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.