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Finding the Fourth Proportional to 70,236.40, 105,338.78 and 20,305.38

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Solution

The fourth proportional to 70,236.40, 105,338.78 and 20,305.38 is: 30,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,236.40 : 105,338.78 = 20,305.38 : x
  2. Step 2: Convert to fraction form
    70,236.40/105,338.78 = 20,305.38/x
  3. Step 3: Cross multiply
    70,236.40x = 105,338.78 × 20,305.38
  4. Step 4: Simplify right side
    70,236.40x = 2,138,943,956.64
  5. Step 5: Solve for x
    x = 2,138,943,956.64/70,236.40
  6. Step 6: Final answer
    x = 30,453.50

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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.