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Finding the Fourth Proportional to 49,925.48, 68,896.74 and 27,569

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Solution

The fourth proportional to 49,925.48, 68,896.74 and 27,569 is: 38,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,925.48 : 68,896.74 = 27,569 : x
  2. Step 2: Convert to fraction form
    49,925.48/68,896.74 = 27,569/x
  3. Step 3: Cross multiply
    49,925.48x = 68,896.74 × 27,569
  4. Step 4: Simplify right side
    49,925.48x = 1,899,414,225.06
  5. Step 5: Solve for x
    x = 1,899,414,225.06/49,925.48
  6. Step 6: Final answer
    x = 38,044.99

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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.