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Finding the Fourth Proportional to 33,878.31, 46,774.89 and 21,150.87

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Solution

The fourth proportional to 33,878.31, 46,774.89 and 21,150.87 is: 29,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878.31 : 46,774.89 = 21,150.87 : x
  2. Step 2: Convert to fraction form
    33,878.31/46,774.89 = 21,150.87/x
  3. Step 3: Cross multiply
    33,878.31x = 46,774.89 × 21,150.87
  4. Step 4: Simplify right side
    33,878.31x = 989,329,617.65
  5. Step 5: Solve for x
    x = 989,329,617.65/33,878.31
  6. Step 6: Final answer
    x = 29,202.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.