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Finding the Fourth Proportional to 33,878.68, 46,775.38 and 21,151.24

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Solution

The fourth proportional to 33,878.68, 46,775.38 and 21,151.24 is: 29,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878.68 : 46,775.38 = 21,151.24 : x
  2. Step 2: Convert to fraction form
    33,878.68/46,775.38 = 21,151.24/x
  3. Step 3: Cross multiply
    33,878.68x = 46,775.38 × 21,151.24
  4. Step 4: Simplify right side
    33,878.68x = 989,357,288.47
  5. Step 5: Solve for x
    x = 989,357,288.47/33,878.68
  6. Step 6: Final answer
    x = 29,202.95

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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.