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Finding the Fourth Proportional to 111,971.70, 167,918.66 and 33,064.74

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Solution

The fourth proportional to 111,971.70, 167,918.66 and 33,064.74 is: 49,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,971.70 : 167,918.66 = 33,064.74 : x
  2. Step 2: Convert to fraction form
    111,971.70/167,918.66 = 33,064.74/x
  3. Step 3: Cross multiply
    111,971.70x = 167,918.66 × 33,064.74
  4. Step 4: Simplify right side
    111,971.70x = 5,552,186,834.05
  5. Step 5: Solve for x
    x = 5,552,186,834.05/111,971.70
  6. Step 6: Final answer
    x = 49,585.63

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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.