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Finding the Fourth Proportional to 49,133.97, 73,711.49 and 15,855.93

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Solution

The fourth proportional to 49,133.97, 73,711.49 and 15,855.93 is: 23,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,133.97 : 73,711.49 = 15,855.93 : x
  2. Step 2: Convert to fraction form
    49,133.97/73,711.49 = 15,855.93/x
  3. Step 3: Cross multiply
    49,133.97x = 73,711.49 × 15,855.93
  4. Step 4: Simplify right side
    49,133.97x = 1,168,764,146.36
  5. Step 5: Solve for x
    x = 1,168,764,146.36/49,133.97
  6. Step 6: Final answer
    x = 23,787.29

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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.