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Finding the Fourth Proportional to 103,165.43, 154,751.81 and 33,035.63

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Solution

The fourth proportional to 103,165.43, 154,751.81 and 33,035.63 is: 49,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.43 : 154,751.81 = 33,035.63 : x
  2. Step 2: Convert to fraction form
    103,165.43/154,751.81 = 33,035.63/x
  3. Step 3: Cross multiply
    103,165.43x = 154,751.81 × 33,035.63
  4. Step 4: Simplify right side
    103,165.43x = 5,112,322,598.05
  5. Step 5: Solve for x
    x = 5,112,322,598.05/103,165.43
  6. Step 6: Final answer
    x = 49,554.61

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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.