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Finding the Fourth Proportional to 73,564.74, 110,190.49 and 55,597.48

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Solution

The fourth proportional to 73,564.74, 110,190.49 and 55,597.48 is: 83,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564.74 : 110,190.49 = 55,597.48 : x
  2. Step 2: Convert to fraction form
    73,564.74/110,190.49 = 55,597.48/x
  3. Step 3: Cross multiply
    73,564.74x = 110,190.49 × 55,597.48
  4. Step 4: Simplify right side
    73,564.74x = 6,126,313,149.50
  5. Step 5: Solve for x
    x = 6,126,313,149.50/73,564.74
  6. Step 6: Final answer
    x = 83,277.85

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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.