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Finding the Fourth Proportional to 103,081.82, 154,639.53 and 36,507.51

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Solution

The fourth proportional to 103,081.82, 154,639.53 and 36,507.51 is: 54,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,081.82 : 154,639.53 = 36,507.51 : x
  2. Step 2: Convert to fraction form
    103,081.82/154,639.53 = 36,507.51/x
  3. Step 3: Cross multiply
    103,081.82x = 154,639.53 × 36,507.51
  4. Step 4: Simplify right side
    103,081.82x = 5,645,504,187.87
  5. Step 5: Solve for x
    x = 5,645,504,187.87/103,081.82
  6. Step 6: Final answer
    x = 54,767.22

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Why These Related Problems?

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