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Finding the Fourth Proportional to 50,284.52, 69,393.10 and 27,624

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Solution

The fourth proportional to 50,284.52, 69,393.10 and 27,624 is: 38,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,284.52 : 69,393.10 = 27,624 : x
  2. Step 2: Convert to fraction form
    50,284.52/69,393.10 = 27,624/x
  3. Step 3: Cross multiply
    50,284.52x = 69,393.10 × 27,624
  4. Step 4: Simplify right side
    50,284.52x = 1,916,914,994.40
  5. Step 5: Solve for x
    x = 1,916,914,994.40/50,284.52
  6. Step 6: Final answer
    x = 38,121.37

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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.