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Finding the Fourth Proportional to 50,170.86, 69,235.88 and 27,814.86

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Solution

The fourth proportional to 50,170.86, 69,235.88 and 27,814.86 is: 38,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,170.86 : 69,235.88 = 27,814.86 : x
  2. Step 2: Convert to fraction form
    50,170.86/69,235.88 = 27,814.86/x
  3. Step 3: Cross multiply
    50,170.86x = 69,235.88 × 27,814.86
  4. Step 4: Simplify right side
    50,170.86x = 1,925,785,893.46
  5. Step 5: Solve for x
    x = 1,925,785,893.46/50,170.86
  6. Step 6: Final answer
    x = 38,384.55

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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.