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Finding the Fourth Proportional to 40,410.94, 55,770.16 and 23,419.78

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Solution

The fourth proportional to 40,410.94, 55,770.16 and 23,419.78 is: 32,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,410.94 : 55,770.16 = 23,419.78 : x
  2. Step 2: Convert to fraction form
    40,410.94/55,770.16 = 23,419.78/x
  3. Step 3: Cross multiply
    40,410.94x = 55,770.16 × 23,419.78
  4. Step 4: Simplify right side
    40,410.94x = 1,306,124,877.76
  5. Step 5: Solve for x
    x = 1,306,124,877.76/40,410.94
  6. Step 6: Final answer
    x = 32,321.07

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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.