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Finding the Fourth Proportional to 36,954.36, 51,013.80 and 23,544

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Solution

The fourth proportional to 36,954.36, 51,013.80 and 23,544 is: 32,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954.36 : 51,013.80 = 23,544 : x
  2. Step 2: Convert to fraction form
    36,954.36/51,013.80 = 23,544/x
  3. Step 3: Cross multiply
    36,954.36x = 51,013.80 × 23,544
  4. Step 4: Simplify right side
    36,954.36x = 1,201,068,907.20
  5. Step 5: Solve for x
    x = 1,201,068,907.20/36,954.36
  6. Step 6: Final answer
    x = 32,501.41

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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.