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Finding the Fourth Proportional to 50,854.31, 70,183.09 and 28,200.40

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Solution

The fourth proportional to 50,854.31, 70,183.09 and 28,200.40 is: 38,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,854.31 : 70,183.09 = 28,200.40 : x
  2. Step 2: Convert to fraction form
    50,854.31/70,183.09 = 28,200.40/x
  3. Step 3: Cross multiply
    50,854.31x = 70,183.09 × 28,200.40
  4. Step 4: Simplify right side
    50,854.31x = 1,979,191,070.23
  5. Step 5: Solve for x
    x = 1,979,191,070.23/50,854.31
  6. Step 6: Final answer
    x = 38,918.85

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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.