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Finding the Fourth Proportional to 50,873.64, 70,205.40 and 28,517.64

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Solution

The fourth proportional to 50,873.64, 70,205.40 and 28,517.64 is: 39,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,873.64 : 70,205.40 = 28,517.64 : x
  2. Step 2: Convert to fraction form
    50,873.64/70,205.40 = 28,517.64/x
  3. Step 3: Cross multiply
    50,873.64x = 70,205.40 × 28,517.64
  4. Step 4: Simplify right side
    50,873.64x = 2,002,092,323.26
  5. Step 5: Solve for x
    x = 2,002,092,323.26/50,873.64
  6. Step 6: Final answer
    x = 39,354.22

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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.