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Finding the Fourth Proportional to 85,413.48, 117,872.19 and 47,175

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Solution

The fourth proportional to 85,413.48, 117,872.19 and 47,175 is: 65,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,413.48 : 117,872.19 = 47,175 : x
  2. Step 2: Convert to fraction form
    85,413.48/117,872.19 = 47,175/x
  3. Step 3: Cross multiply
    85,413.48x = 117,872.19 × 47,175
  4. Step 4: Simplify right side
    85,413.48x = 5,560,620,563.25
  5. Step 5: Solve for x
    x = 5,560,620,563.25/85,413.48
  6. Step 6: Final answer
    x = 65,102.38

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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.