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Finding the Fourth Proportional to 106,936.82, 147,609.71 and 61,632.87

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Solution

The fourth proportional to 106,936.82, 147,609.71 and 61,632.87 is: 85,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,936.82 : 147,609.71 = 61,632.87 : x
  2. Step 2: Convert to fraction form
    106,936.82/147,609.71 = 61,632.87/x
  3. Step 3: Cross multiply
    106,936.82x = 147,609.71 × 61,632.87
  4. Step 4: Simplify right side
    106,936.82x = 9,097,609,759.00
  5. Step 5: Solve for x
    x = 9,097,609,759.00/106,936.82
  6. Step 6: Final answer
    x = 85,074.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.