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Finding the Fourth Proportional to 75,404.25, 104,057.87 and 41,870.25

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Solution

The fourth proportional to 75,404.25, 104,057.87 and 41,870.25 is: 57,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,404.25 : 104,057.87 = 41,870.25 : x
  2. Step 2: Convert to fraction form
    75,404.25/104,057.87 = 41,870.25/x
  3. Step 3: Cross multiply
    75,404.25x = 104,057.87 × 41,870.25
  4. Step 4: Simplify right side
    75,404.25x = 4,356,928,822.02
  5. Step 5: Solve for x
    x = 4,356,928,822.02/75,404.25
  6. Step 6: Final answer
    x = 57,780.95

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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.