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Finding the Fourth Proportional to 75,813.32, 113,769.18 and 34,260.68

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Solution

The fourth proportional to 75,813.32, 113,769.18 and 34,260.68 is: 51,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,813.32 : 113,769.18 = 34,260.68 : x
  2. Step 2: Convert to fraction form
    75,813.32/113,769.18 = 34,260.68/x
  3. Step 3: Cross multiply
    75,813.32x = 113,769.18 × 34,260.68
  4. Step 4: Simplify right side
    75,813.32x = 3,897,809,469.84
  5. Step 5: Solve for x
    x = 3,897,809,469.84/75,813.32
  6. Step 6: Final answer
    x = 51,413.25

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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.