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Finding the Fourth Proportional to 70,930.66, 106,391.88 and 25,982.34

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Solution

The fourth proportional to 70,930.66, 106,391.88 and 25,982.34 is: 38,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,930.66 : 106,391.88 = 25,982.34 : x
  2. Step 2: Convert to fraction form
    70,930.66/106,391.88 = 25,982.34/x
  3. Step 3: Cross multiply
    70,930.66x = 106,391.88 × 25,982.34
  4. Step 4: Simplify right side
    70,930.66x = 2,764,310,009.27
  5. Step 5: Solve for x
    x = 2,764,310,009.27/70,930.66
  6. Step 6: Final answer
    x = 38,972.01

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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.