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Finding the Fourth Proportional to 70,691.74, 106,049.00 and 23,293.07

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Solution

The fourth proportional to 70,691.74, 106,049.00 and 23,293.07 is: 34,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,691.74 : 106,049.00 = 23,293.07 : x
  2. Step 2: Convert to fraction form
    70,691.74/106,049.00 = 23,293.07/x
  3. Step 3: Cross multiply
    70,691.74x = 106,049.00 × 23,293.07
  4. Step 4: Simplify right side
    70,691.74x = 2,470,206,575.08
  5. Step 5: Solve for x
    x = 2,470,206,575.08/70,691.74
  6. Step 6: Final answer
    x = 34,943.36

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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.