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Finding the Fourth Proportional to 40,413.20, 55,785.20 and 34,725.20

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Solution

The fourth proportional to 40,413.20, 55,785.20 and 34,725.20 is: 47,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,413.20 : 55,785.20 = 34,725.20 : x
  2. Step 2: Convert to fraction form
    40,413.20/55,785.20 = 34,725.20/x
  3. Step 3: Cross multiply
    40,413.20x = 55,785.20 × 34,725.20
  4. Step 4: Simplify right side
    40,413.20x = 1,937,152,227.04
  5. Step 5: Solve for x
    x = 1,937,152,227.04/40,413.20
  6. Step 6: Final answer
    x = 47,933.65

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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.