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Finding the Fourth Proportional to 53,200.72, 73,413.66 and 29,327.60

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Solution

The fourth proportional to 53,200.72, 73,413.66 and 29,327.60 is: 40,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.72 : 73,413.66 = 29,327.60 : x
  2. Step 2: Convert to fraction form
    53,200.72/73,413.66 = 29,327.60/x
  3. Step 3: Cross multiply
    53,200.72x = 73,413.66 × 29,327.60
  4. Step 4: Simplify right side
    53,200.72x = 2,153,046,455.02
  5. Step 5: Solve for x
    x = 2,153,046,455.02/53,200.72
  6. Step 6: Final answer
    x = 40,470.25

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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.