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Finding the Fourth Proportional to 70,662.60, 105,928.02 and 23,882.76

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Solution

The fourth proportional to 70,662.60, 105,928.02 and 23,882.76 is: 35,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,662.60 : 105,928.02 = 23,882.76 : x
  2. Step 2: Convert to fraction form
    70,662.60/105,928.02 = 23,882.76/x
  3. Step 3: Cross multiply
    70,662.60x = 105,928.02 × 23,882.76
  4. Step 4: Simplify right side
    70,662.60x = 2,529,853,478.94
  5. Step 5: Solve for x
    x = 2,529,853,478.94/70,662.60
  6. Step 6: Final answer
    x = 35,801.87

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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.