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Finding the Fourth Proportional to 61,413.78, 84,750.84 and 34,556.30

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Solution

The fourth proportional to 61,413.78, 84,750.84 and 34,556.30 is: 47,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,413.78 : 84,750.84 = 34,556.30 : x
  2. Step 2: Convert to fraction form
    61,413.78/84,750.84 = 34,556.30/x
  3. Step 3: Cross multiply
    61,413.78x = 84,750.84 × 34,556.30
  4. Step 4: Simplify right side
    61,413.78x = 2,928,675,452.29
  5. Step 5: Solve for x
    x = 2,928,675,452.29/61,413.78
  6. Step 6: Final answer
    x = 47,687.59

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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.