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Finding the Fourth Proportional to 70,735.88, 106,110.74 and 25,769.45

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Solution

The fourth proportional to 70,735.88, 106,110.74 and 25,769.45 is: 38,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,735.88 : 106,110.74 = 25,769.45 : x
  2. Step 2: Convert to fraction form
    70,735.88/106,110.74 = 25,769.45/x
  3. Step 3: Cross multiply
    70,735.88x = 106,110.74 × 25,769.45
  4. Step 4: Simplify right side
    70,735.88x = 2,734,415,738.59
  5. Step 5: Solve for x
    x = 2,734,415,738.59/70,735.88
  6. Step 6: Final answer
    x = 38,656.70

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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.