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Finding the Fourth Proportional to 65,413.12, 90,268.68 and 38,193.88

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Solution

The fourth proportional to 65,413.12, 90,268.68 and 38,193.88 is: 52,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,413.12 : 90,268.68 = 38,193.88 : x
  2. Step 2: Convert to fraction form
    65,413.12/90,268.68 = 38,193.88/x
  3. Step 3: Cross multiply
    65,413.12x = 90,268.68 × 38,193.88
  4. Step 4: Simplify right side
    65,413.12x = 3,447,711,131.68
  5. Step 5: Solve for x
    x = 3,447,711,131.68/65,413.12
  6. Step 6: Final answer
    x = 52,706.72

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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.