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Finding the Fourth Proportional to 105,816.39, 158,748.11 and 49,626.56

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Solution

The fourth proportional to 105,816.39, 158,748.11 and 49,626.56 is: 74,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,816.39 : 158,748.11 = 49,626.56 : x
  2. Step 2: Convert to fraction form
    105,816.39/158,748.11 = 49,626.56/x
  3. Step 3: Cross multiply
    105,816.39x = 158,748.11 × 49,626.56
  4. Step 4: Simplify right side
    105,816.39x = 7,878,121,563.93
  5. Step 5: Solve for x
    x = 7,878,121,563.93/105,816.39
  6. Step 6: Final answer
    x = 74,450.86

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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.