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Finding the Fourth Proportional to 49,898.16, 68,859.72 and 27,542.16

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Solution

The fourth proportional to 49,898.16, 68,859.72 and 27,542.16 is: 38,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,898.16 : 68,859.72 = 27,542.16 : x
  2. Step 2: Convert to fraction form
    49,898.16/68,859.72 = 27,542.16/x
  3. Step 3: Cross multiply
    49,898.16x = 68,859.72 × 27,542.16
  4. Step 4: Simplify right side
    49,898.16x = 1,896,545,425.80
  5. Step 5: Solve for x
    x = 1,896,545,425.80/49,898.16
  6. Step 6: Final answer
    x = 38,008.32

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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.