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Finding the Fourth Proportional to 33,770.96, 46,599 and 21,199.76

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Solution

The fourth proportional to 33,770.96, 46,599 and 21,199.76 is: 29,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,770.96 : 46,599 = 21,199.76 : x
  2. Step 2: Convert to fraction form
    33,770.96/46,599 = 21,199.76/x
  3. Step 3: Cross multiply
    33,770.96x = 46,599 × 21,199.76
  4. Step 4: Simplify right side
    33,770.96x = 987,887,616.24
  5. Step 5: Solve for x
    x = 987,887,616.24/33,770.96
  6. Step 6: Final answer
    x = 29,252.58

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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.