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Finding the Fourth Proportional to 41,437, 57,184.26 and 23,533

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Solution

The fourth proportional to 41,437, 57,184.26 and 23,533 is: 32,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,437 : 57,184.26 = 23,533 : x
  2. Step 2: Convert to fraction form
    41,437/57,184.26 = 23,533/x
  3. Step 3: Cross multiply
    41,437x = 57,184.26 × 23,533
  4. Step 4: Simplify right side
    41,437x = 1,345,717,190.58
  5. Step 5: Solve for x
    x = 1,345,717,190.58/41,437
  6. Step 6: Final answer
    x = 32,476.22

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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.