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Finding the Fourth Proportional to 107,101.70, 160,696.66 and 47,099.33

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Solution

The fourth proportional to 107,101.70, 160,696.66 and 47,099.33 is: 70,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,101.70 : 160,696.66 = 47,099.33 : x
  2. Step 2: Convert to fraction form
    107,101.70/160,696.66 = 47,099.33/x
  3. Step 3: Cross multiply
    107,101.70x = 160,696.66 × 47,099.33
  4. Step 4: Simplify right side
    107,101.70x = 7,568,705,019.24
  5. Step 5: Solve for x
    x = 7,568,705,019.24/107,101.70
  6. Step 6: Final answer
    x = 70,668.39

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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.