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Finding the Fourth Proportional to 106,853.76, 160,289.82 and 27,967.86

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Solution

The fourth proportional to 106,853.76, 160,289.82 and 27,967.86 is: 41,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,853.76 : 160,289.82 = 27,967.86 : x
  2. Step 2: Convert to fraction form
    106,853.76/160,289.82 = 27,967.86/x
  3. Step 3: Cross multiply
    106,853.76x = 160,289.82 × 27,967.86
  4. Step 4: Simplify right side
    106,853.76x = 4,482,963,245.19
  5. Step 5: Solve for x
    x = 4,482,963,245.19/106,853.76
  6. Step 6: Final answer
    x = 41,954.19

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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.