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Finding the Fourth Proportional to 106,106.64, 159,161.79 and 35,987.76

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Solution

The fourth proportional to 106,106.64, 159,161.79 and 35,987.76 is: 53,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,106.64 : 159,161.79 = 35,987.76 : x
  2. Step 2: Convert to fraction form
    106,106.64/159,161.79 = 35,987.76/x
  3. Step 3: Cross multiply
    106,106.64x = 159,161.79 × 35,987.76
  4. Step 4: Simplify right side
    106,106.64x = 5,727,876,299.69
  5. Step 5: Solve for x
    x = 5,727,876,299.69/106,106.64
  6. Step 6: Final answer
    x = 53,982.26

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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.