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Finding the Fourth Proportional to 33,602.82, 46,356.38 and 20,150.75

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Solution

The fourth proportional to 33,602.82, 46,356.38 and 20,150.75 is: 27,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,602.82 : 46,356.38 = 20,150.75 : x
  2. Step 2: Convert to fraction form
    33,602.82/46,356.38 = 20,150.75/x
  3. Step 3: Cross multiply
    33,602.82x = 46,356.38 × 20,150.75
  4. Step 4: Simplify right side
    33,602.82x = 934,115,491.75
  5. Step 5: Solve for x
    x = 934,115,491.75/33,602.82
  6. Step 6: Final answer
    x = 27,798.72

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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.