Home / 106,738.42-160,116.75-31,853.74

Finding the Fourth Proportional to 106,738.42, 160,116.75 and 31,853.74

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Solution

The fourth proportional to 106,738.42, 160,116.75 and 31,853.74 is: 47,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,738.42 : 160,116.75 = 31,853.74 : x
  2. Step 2: Convert to fraction form
    106,738.42/160,116.75 = 31,853.74/x
  3. Step 3: Cross multiply
    106,738.42x = 160,116.75 × 31,853.74
  4. Step 4: Simplify right side
    106,738.42x = 5,100,317,324.15
  5. Step 5: Solve for x
    x = 5,100,317,324.15/106,738.42
  6. Step 6: Final answer
    x = 47,783.33

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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.