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Finding the Fourth Proportional to 50,292.48, 69,405.12 and 27,936

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Solution

The fourth proportional to 50,292.48, 69,405.12 and 27,936 is: 38,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,292.48 : 69,405.12 = 27,936 : x
  2. Step 2: Convert to fraction form
    50,292.48/69,405.12 = 27,936/x
  3. Step 3: Cross multiply
    50,292.48x = 69,405.12 × 27,936
  4. Step 4: Simplify right side
    50,292.48x = 1,938,901,432.32
  5. Step 5: Solve for x
    x = 1,938,901,432.32/50,292.48
  6. Step 6: Final answer
    x = 38,552.51

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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.