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Finding the Fourth Proportional to 106,648.72, 159,956.64 and 35,572.60

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Solution

The fourth proportional to 106,648.72, 159,956.64 and 35,572.60 is: 53,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,648.72 : 159,956.64 = 35,572.60 : x
  2. Step 2: Convert to fraction form
    106,648.72/159,956.64 = 35,572.60/x
  3. Step 3: Cross multiply
    106,648.72x = 159,956.64 × 35,572.60
  4. Step 4: Simplify right side
    106,648.72x = 5,690,073,572.06
  5. Step 5: Solve for x
    x = 5,690,073,572.06/106,648.72
  6. Step 6: Final answer
    x = 53,353.42

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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.