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Finding the Fourth Proportional to 50,284.98, 69,393.86 and 27,624.52

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Solution

The fourth proportional to 50,284.98, 69,393.86 and 27,624.52 is: 38,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,284.98 : 69,393.86 = 27,624.52 : x
  2. Step 2: Convert to fraction form
    50,284.98/69,393.86 = 27,624.52/x
  3. Step 3: Cross multiply
    50,284.98x = 69,393.86 × 27,624.52
  4. Step 4: Simplify right side
    50,284.98x = 1,916,972,073.45
  5. Step 5: Solve for x
    x = 1,916,972,073.45/50,284.98
  6. Step 6: Final answer
    x = 38,122.16

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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.