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Finding the Fourth Proportional to 50,443.48, 69,611.15 and 27,784.59

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Solution

The fourth proportional to 50,443.48, 69,611.15 and 27,784.59 is: 38,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,443.48 : 69,611.15 = 27,784.59 : x
  2. Step 2: Convert to fraction form
    50,443.48/69,611.15 = 27,784.59/x
  3. Step 3: Cross multiply
    50,443.48x = 69,611.15 × 27,784.59
  4. Step 4: Simplify right side
    50,443.48x = 1,934,117,305.87
  5. Step 5: Solve for x
    x = 1,934,117,305.87/50,443.48
  6. Step 6: Final answer
    x = 38,342.26

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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.