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Finding the Fourth Proportional to 36,765.36, 55,142.82 and 11,802.17

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Solution

The fourth proportional to 36,765.36, 55,142.82 and 11,802.17 is: 17,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,765.36 : 55,142.82 = 11,802.17 : x
  2. Step 2: Convert to fraction form
    36,765.36/55,142.82 = 11,802.17/x
  3. Step 3: Cross multiply
    36,765.36x = 55,142.82 × 11,802.17
  4. Step 4: Simplify right side
    36,765.36x = 650,805,073.78
  5. Step 5: Solve for x
    x = 650,805,073.78/36,765.36
  6. Step 6: Final answer
    x = 17,701.58

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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.