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Finding the Fourth Proportional to 106,079.79, 159,119.69 and 49,884.96

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Solution

The fourth proportional to 106,079.79, 159,119.69 and 49,884.96 is: 74,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,079.79 : 159,119.69 = 49,884.96 : x
  2. Step 2: Convert to fraction form
    106,079.79/159,119.69 = 49,884.96/x
  3. Step 3: Cross multiply
    106,079.79x = 159,119.69 × 49,884.96
  4. Step 4: Simplify right side
    106,079.79x = 7,937,679,121.44
  5. Step 5: Solve for x
    x = 7,937,679,121.44/106,079.79
  6. Step 6: Final answer
    x = 74,827.44

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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.