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Finding the Fourth Proportional to 33,437, 46,143.14 and 18,533

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Solution

The fourth proportional to 33,437, 46,143.14 and 18,533 is: 25,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,437 : 46,143.14 = 18,533 : x
  2. Step 2: Convert to fraction form
    33,437/46,143.14 = 18,533/x
  3. Step 3: Cross multiply
    33,437x = 46,143.14 × 18,533
  4. Step 4: Simplify right side
    33,437x = 855,170,813.62
  5. Step 5: Solve for x
    x = 855,170,813.62/33,437
  6. Step 6: Final answer
    x = 25,575.58

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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.