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Finding the Fourth Proportional to 106,722.64, 159,956.72 and 49,720.08

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Solution

The fourth proportional to 106,722.64, 159,956.72 and 49,720.08 is: 74,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722.64 : 159,956.72 = 49,720.08 : x
  2. Step 2: Convert to fraction form
    106,722.64/159,956.72 = 49,720.08/x
  3. Step 3: Cross multiply
    106,722.64x = 159,956.72 × 49,720.08
  4. Step 4: Simplify right side
    106,722.64x = 7,953,060,914.94
  5. Step 5: Solve for x
    x = 7,953,060,914.94/106,722.64
  6. Step 6: Final answer
    x = 74,520.84

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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.