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Finding the Fourth Proportional to 75,796.75, 113,671.99 and 31,413.06

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Solution

The fourth proportional to 75,796.75, 113,671.99 and 31,413.06 is: 47,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,796.75 : 113,671.99 = 31,413.06 : x
  2. Step 2: Convert to fraction form
    75,796.75/113,671.99 = 31,413.06/x
  3. Step 3: Cross multiply
    75,796.75x = 113,671.99 × 31,413.06
  4. Step 4: Simplify right side
    75,796.75x = 3,570,785,081.46
  5. Step 5: Solve for x
    x = 3,570,785,081.46/75,796.75
  6. Step 6: Final answer
    x = 47,110.01

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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.