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Finding the Fourth Proportional to 73,751.76, 101,780.04 and 41,922

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Solution

The fourth proportional to 73,751.76, 101,780.04 and 41,922 is: 57,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,751.76 : 101,780.04 = 41,922 : x
  2. Step 2: Convert to fraction form
    73,751.76/101,780.04 = 41,922/x
  3. Step 3: Cross multiply
    73,751.76x = 101,780.04 × 41,922
  4. Step 4: Simplify right side
    73,751.76x = 4,266,822,836.88
  5. Step 5: Solve for x
    x = 4,266,822,836.88/73,751.76
  6. Step 6: Final answer
    x = 57,853.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.