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Finding the Fourth Proportional to 61,877.50, 85,413.12 and 36,727

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Solution

The fourth proportional to 61,877.50, 85,413.12 and 36,727 is: 50,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,877.50 : 85,413.12 = 36,727 : x
  2. Step 2: Convert to fraction form
    61,877.50/85,413.12 = 36,727/x
  3. Step 3: Cross multiply
    61,877.50x = 85,413.12 × 36,727
  4. Step 4: Simplify right side
    61,877.50x = 3,136,967,658.24
  5. Step 5: Solve for x
    x = 3,136,967,658.24/61,877.50
  6. Step 6: Final answer
    x = 50,696.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.