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Finding the Fourth Proportional to 103,166.93, 154,754.06 and 33,037.13

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Solution

The fourth proportional to 103,166.93, 154,754.06 and 33,037.13 is: 49,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,166.93 : 154,754.06 = 33,037.13 : x
  2. Step 2: Convert to fraction form
    103,166.93/154,754.06 = 33,037.13/x
  3. Step 3: Cross multiply
    103,166.93x = 154,754.06 × 33,037.13
  4. Step 4: Simplify right side
    103,166.93x = 5,112,629,059.29
  5. Step 5: Solve for x
    x = 5,112,629,059.29/103,166.93
  6. Step 6: Final answer
    x = 49,556.86

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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.