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Finding the Fourth Proportional to 41,578, 57,378.90 and 22,716.36

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Solution

The fourth proportional to 41,578, 57,378.90 and 22,716.36 is: 31,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,578 : 57,378.90 = 22,716.36 : x
  2. Step 2: Convert to fraction form
    41,578/57,378.90 = 22,716.36/x
  3. Step 3: Cross multiply
    41,578x = 57,378.90 × 22,716.36
  4. Step 4: Simplify right side
    41,578x = 1,303,439,748.80
  5. Step 5: Solve for x
    x = 1,303,439,748.80/41,578
  6. Step 6: Final answer
    x = 31,349.27

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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.