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Finding the Fourth Proportional to 33,778, 50,667.18 and 9,154

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Solution

The fourth proportional to 33,778, 50,667.18 and 9,154 is: 13,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778 : 50,667.18 = 9,154 : x
  2. Step 2: Convert to fraction form
    33,778/50,667.18 = 9,154/x
  3. Step 3: Cross multiply
    33,778x = 50,667.18 × 9,154
  4. Step 4: Simplify right side
    33,778x = 463,807,365.72
  5. Step 5: Solve for x
    x = 463,807,365.72/33,778
  6. Step 6: Final answer
    x = 13,731.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.