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Finding the Fourth Proportional to 30,259.60, 41,766.24 and 21,309.76

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Solution

The fourth proportional to 30,259.60, 41,766.24 and 21,309.76 is: 29,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.60 : 41,766.24 = 21,309.76 : x
  2. Step 2: Convert to fraction form
    30,259.60/41,766.24 = 21,309.76/x
  3. Step 3: Cross multiply
    30,259.60x = 41,766.24 × 21,309.76
  4. Step 4: Simplify right side
    30,259.60x = 890,028,550.50
  5. Step 5: Solve for x
    x = 890,028,550.50/30,259.60
  6. Step 6: Final answer
    x = 29,413.10

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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.