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Finding the Fourth Proportional to 33,877.68, 46,774 and 21,150.24

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Solution

The fourth proportional to 33,877.68, 46,774 and 21,150.24 is: 29,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,877.68 : 46,774 = 21,150.24 : x
  2. Step 2: Convert to fraction form
    33,877.68/46,774 = 21,150.24/x
  3. Step 3: Cross multiply
    33,877.68x = 46,774 × 21,150.24
  4. Step 4: Simplify right side
    33,877.68x = 989,281,325.76
  5. Step 5: Solve for x
    x = 989,281,325.76/33,877.68
  6. Step 6: Final answer
    x = 29,201.57

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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.