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Finding the Fourth Proportional to 107,033.72, 160,550.96 and 35,954.33

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Solution

The fourth proportional to 107,033.72, 160,550.96 and 35,954.33 is: 53,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,033.72 : 160,550.96 = 35,954.33 : x
  2. Step 2: Convert to fraction form
    107,033.72/160,550.96 = 35,954.33/x
  3. Step 3: Cross multiply
    107,033.72x = 160,550.96 × 35,954.33
  4. Step 4: Simplify right side
    107,033.72x = 5,772,501,215.13
  5. Step 5: Solve for x
    x = 5,772,501,215.13/107,033.72
  6. Step 6: Final answer
    x = 53,931.62

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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.