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Finding the Fourth Proportional to 71,677.60, 98,916.32 and 39,413.60

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Solution

The fourth proportional to 71,677.60, 98,916.32 and 39,413.60 is: 54,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,677.60 : 98,916.32 = 39,413.60 : x
  2. Step 2: Convert to fraction form
    71,677.60/98,916.32 = 39,413.60/x
  3. Step 3: Cross multiply
    71,677.60x = 98,916.32 × 39,413.60
  4. Step 4: Simplify right side
    71,677.60x = 3,898,648,269.95
  5. Step 5: Solve for x
    x = 3,898,648,269.95/71,677.60
  6. Step 6: Final answer
    x = 54,391.45

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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.