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Finding the Fourth Proportional to 73,214.80, 101,041.56 and 41,383.96

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Solution

The fourth proportional to 73,214.80, 101,041.56 and 41,383.96 is: 57,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,214.80 : 101,041.56 = 41,383.96 : x
  2. Step 2: Convert to fraction form
    73,214.80/101,041.56 = 41,383.96/x
  3. Step 3: Cross multiply
    73,214.80x = 101,041.56 × 41,383.96
  4. Step 4: Simplify right side
    73,214.80x = 4,181,499,624.77
  5. Step 5: Solve for x
    x = 4,181,499,624.77/73,214.80
  6. Step 6: Final answer
    x = 57,112.77

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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.