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Finding the Fourth Proportional to 33,084.39, 45,656.64 and 17,977.17

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Solution

The fourth proportional to 33,084.39, 45,656.64 and 17,977.17 is: 24,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084.39 : 45,656.64 = 17,977.17 : x
  2. Step 2: Convert to fraction form
    33,084.39/45,656.64 = 17,977.17/x
  3. Step 3: Cross multiply
    33,084.39x = 45,656.64 × 17,977.17
  4. Step 4: Simplify right side
    33,084.39x = 820,777,178.91
  5. Step 5: Solve for x
    x = 820,777,178.91/33,084.39
  6. Step 6: Final answer
    x = 24,808.59

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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.