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Finding the Fourth Proportional to 53,413.98, 73,711.80 and 29,542.26

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Solution

The fourth proportional to 53,413.98, 73,711.80 and 29,542.26 is: 40,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413.98 : 73,711.80 = 29,542.26 : x
  2. Step 2: Convert to fraction form
    53,413.98/73,711.80 = 29,542.26/x
  3. Step 3: Cross multiply
    53,413.98x = 73,711.80 × 29,542.26
  4. Step 4: Simplify right side
    53,413.98x = 2,177,613,160.67
  5. Step 5: Solve for x
    x = 2,177,613,160.67/53,413.98
  6. Step 6: Final answer
    x = 40,768.60

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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.