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Finding the Fourth Proportional to 49,172.46, 67,857.96 and 27,953.07

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Solution

The fourth proportional to 49,172.46, 67,857.96 and 27,953.07 is: 38,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,172.46 : 67,857.96 = 27,953.07 : x
  2. Step 2: Convert to fraction form
    49,172.46/67,857.96 = 27,953.07/x
  3. Step 3: Cross multiply
    49,172.46x = 67,857.96 × 27,953.07
  4. Step 4: Simplify right side
    49,172.46x = 1,896,838,305.94
  5. Step 5: Solve for x
    x = 1,896,838,305.94/49,172.46
  6. Step 6: Final answer
    x = 38,575.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.