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Finding the Fourth Proportional to 50,356, 69,491.28 and 27,999.52

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Solution

The fourth proportional to 50,356, 69,491.28 and 27,999.52 is: 38,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,356 : 69,491.28 = 27,999.52 : x
  2. Step 2: Convert to fraction form
    50,356/69,491.28 = 27,999.52/x
  3. Step 3: Cross multiply
    50,356x = 69,491.28 × 27,999.52
  4. Step 4: Simplify right side
    50,356x = 1,945,722,484.19
  5. Step 5: Solve for x
    x = 1,945,722,484.19/50,356
  6. Step 6: Final answer
    x = 38,639.34

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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.