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Finding the Fourth Proportional to 70,597, 105,873.04 and 23,201.16

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Solution

The fourth proportional to 70,597, 105,873.04 and 23,201.16 is: 34,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,597 : 105,873.04 = 23,201.16 : x
  2. Step 2: Convert to fraction form
    70,597/105,873.04 = 23,201.16/x
  3. Step 3: Cross multiply
    70,597x = 105,873.04 × 23,201.16
  4. Step 4: Simplify right side
    70,597x = 2,456,377,340.73
  5. Step 5: Solve for x
    x = 2,456,377,340.73/70,597
  6. Step 6: Final answer
    x = 34,794.36

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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.