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Finding the Fourth Proportional to 71,306.61, 98,413.41 and 41,086.14

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Solution

The fourth proportional to 71,306.61, 98,413.41 and 41,086.14 is: 56,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,306.61 : 98,413.41 = 41,086.14 : x
  2. Step 2: Convert to fraction form
    71,306.61/98,413.41 = 41,086.14/x
  3. Step 3: Cross multiply
    71,306.61x = 98,413.41 × 41,086.14
  4. Step 4: Simplify right side
    71,306.61x = 4,043,426,649.07
  5. Step 5: Solve for x
    x = 4,043,426,649.07/71,306.61
  6. Step 6: Final answer
    x = 56,704.80

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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.