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Finding the Fourth Proportional to 75,860.77, 113,811.32 and 25,940.78

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Solution

The fourth proportional to 75,860.77, 113,811.32 and 25,940.78 is: 38,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,860.77 : 113,811.32 = 25,940.78 : x
  2. Step 2: Convert to fraction form
    75,860.77/113,811.32 = 25,940.78/x
  3. Step 3: Cross multiply
    75,860.77x = 113,811.32 × 25,940.78
  4. Step 4: Simplify right side
    75,860.77x = 2,952,354,413.63
  5. Step 5: Solve for x
    x = 2,952,354,413.63/75,860.77
  6. Step 6: Final answer
    x = 38,918.07

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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.