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Finding the Fourth Proportional to 56,227.60, 77,594.16 and 30,734.20

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Solution

The fourth proportional to 56,227.60, 77,594.16 and 30,734.20 is: 42,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,227.60 : 77,594.16 = 30,734.20 : x
  2. Step 2: Convert to fraction form
    56,227.60/77,594.16 = 30,734.20/x
  3. Step 3: Cross multiply
    56,227.60x = 77,594.16 × 30,734.20
  4. Step 4: Simplify right side
    56,227.60x = 2,384,794,432.27
  5. Step 5: Solve for x
    x = 2,384,794,432.27/56,227.60
  6. Step 6: Final answer
    x = 42,413.24

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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.