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Finding the Fourth Proportional to 110,746.34, 166,135.81 and 35,841.59

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Solution

The fourth proportional to 110,746.34, 166,135.81 and 35,841.59 is: 53,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,746.34 : 166,135.81 = 35,841.59 : x
  2. Step 2: Convert to fraction form
    110,746.34/166,135.81 = 35,841.59/x
  3. Step 3: Cross multiply
    110,746.34x = 166,135.81 × 35,841.59
  4. Step 4: Simplify right side
    110,746.34x = 5,954,571,356.27
  5. Step 5: Solve for x
    x = 5,954,571,356.27/110,746.34
  6. Step 6: Final answer
    x = 53,767.66

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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.