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Finding the Fourth Proportional to 109,551.76, 164,327.64 and 35,679.76

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Solution

The fourth proportional to 109,551.76, 164,327.64 and 35,679.76 is: 53,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,551.76 : 164,327.64 = 35,679.76 : x
  2. Step 2: Convert to fraction form
    109,551.76/164,327.64 = 35,679.76/x
  3. Step 3: Cross multiply
    109,551.76x = 164,327.64 × 35,679.76
  4. Step 4: Simplify right side
    109,551.76x = 5,863,170,756.57
  5. Step 5: Solve for x
    x = 5,863,170,756.57/109,551.76
  6. Step 6: Final answer
    x = 53,519.64

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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.