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Finding the Fourth Proportional to 50,857.95, 70,188.09 and 28,204.02

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Solution

The fourth proportional to 50,857.95, 70,188.09 and 28,204.02 is: 38,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,857.95 : 70,188.09 = 28,204.02 : x
  2. Step 2: Convert to fraction form
    50,857.95/70,188.09 = 28,204.02/x
  3. Step 3: Cross multiply
    50,857.95x = 70,188.09 × 28,204.02
  4. Step 4: Simplify right side
    50,857.95x = 1,979,586,294.12
  5. Step 5: Solve for x
    x = 1,979,586,294.12/50,857.95
  6. Step 6: Final answer
    x = 38,923.83

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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.