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Finding the Fourth Proportional to 50,867.19, 70,193.91 and 28,204.86

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Solution

The fourth proportional to 50,867.19, 70,193.91 and 28,204.86 is: 38,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,867.19 : 70,193.91 = 28,204.86 : x
  2. Step 2: Convert to fraction form
    50,867.19/70,193.91 = 28,204.86/x
  3. Step 3: Cross multiply
    50,867.19x = 70,193.91 × 28,204.86
  4. Step 4: Simplify right side
    50,867.19x = 1,979,809,404.40
  5. Step 5: Solve for x
    x = 1,979,809,404.40/50,867.19
  6. Step 6: Final answer
    x = 38,921.15

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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.