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Finding the Fourth Proportional to 39,405.86, 54,380.70 and 22,409.66

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Solution

The fourth proportional to 39,405.86, 54,380.70 and 22,409.66 is: 30,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,405.86 : 54,380.70 = 22,409.66 : x
  2. Step 2: Convert to fraction form
    39,405.86/54,380.70 = 22,409.66/x
  3. Step 3: Cross multiply
    39,405.86x = 54,380.70 × 22,409.66
  4. Step 4: Simplify right side
    39,405.86x = 1,218,652,997.56
  5. Step 5: Solve for x
    x = 1,218,652,997.56/39,405.86
  6. Step 6: Final answer
    x = 30,925.68

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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.