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Finding the Fourth Proportional to 36,460.71, 54,694.16 and 10,165.48

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Solution

The fourth proportional to 36,460.71, 54,694.16 and 10,165.48 is: 15,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460.71 : 54,694.16 = 10,165.48 : x
  2. Step 2: Convert to fraction form
    36,460.71/54,694.16 = 10,165.48/x
  3. Step 3: Cross multiply
    36,460.71x = 54,694.16 × 10,165.48
  4. Step 4: Simplify right side
    36,460.71x = 555,992,389.60
  5. Step 5: Solve for x
    x = 555,992,389.60/36,460.71
  6. Step 6: Final answer
    x = 15,249.08

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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.