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Finding the Fourth Proportional to 41,322.84, 57,024.31 and 23,419.50

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Solution

The fourth proportional to 41,322.84, 57,024.31 and 23,419.50 is: 32,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,322.84 : 57,024.31 = 23,419.50 : x
  2. Step 2: Convert to fraction form
    41,322.84/57,024.31 = 23,419.50/x
  3. Step 3: Cross multiply
    41,322.84x = 57,024.31 × 23,419.50
  4. Step 4: Simplify right side
    41,322.84x = 1,335,480,828.05
  5. Step 5: Solve for x
    x = 1,335,480,828.05/41,322.84
  6. Step 6: Final answer
    x = 32,318.22

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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.