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Finding the Fourth Proportional to 106,522.80, 159,788.24 and 35,451.76

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Solution

The fourth proportional to 106,522.80, 159,788.24 and 35,451.76 is: 53,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,522.80 : 159,788.24 = 35,451.76 : x
  2. Step 2: Convert to fraction form
    106,522.80/159,788.24 = 35,451.76/x
  3. Step 3: Cross multiply
    106,522.80x = 159,788.24 × 35,451.76
  4. Step 4: Simplify right side
    106,522.80x = 5,664,774,335.30
  5. Step 5: Solve for x
    x = 5,664,774,335.30/106,522.80
  6. Step 6: Final answer
    x = 53,178.98

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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.