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Finding the Fourth Proportional to 41,694.42, 57,538.32 and 22,574.19

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Solution

The fourth proportional to 41,694.42, 57,538.32 and 22,574.19 is: 31,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,694.42 : 57,538.32 = 22,574.19 : x
  2. Step 2: Convert to fraction form
    41,694.42/57,538.32 = 22,574.19/x
  3. Step 3: Cross multiply
    41,694.42x = 57,538.32 × 22,574.19
  4. Step 4: Simplify right side
    41,694.42x = 1,298,881,099.08
  5. Step 5: Solve for x
    x = 1,298,881,099.08/41,694.42
  6. Step 6: Final answer
    x = 31,152.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.