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Finding the Fourth Proportional to 41,322.88, 57,072 and 32,004.16

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Solution

The fourth proportional to 41,322.88, 57,072 and 32,004.16 is: 44,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,322.88 : 57,072 = 32,004.16 : x
  2. Step 2: Convert to fraction form
    41,322.88/57,072 = 32,004.16/x
  3. Step 3: Cross multiply
    41,322.88x = 57,072 × 32,004.16
  4. Step 4: Simplify right side
    41,322.88x = 1,826,541,419.52
  5. Step 5: Solve for x
    x = 1,826,541,419.52/41,322.88
  6. Step 6: Final answer
    x = 44,201.70

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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.