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Finding the Fourth Proportional to 50,873.90, 70,206.14 and 28,213.16

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Solution

The fourth proportional to 50,873.90, 70,206.14 and 28,213.16 is: 38,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,873.90 : 70,206.14 = 28,213.16 : x
  2. Step 2: Convert to fraction form
    50,873.90/70,206.14 = 28,213.16/x
  3. Step 3: Cross multiply
    50,873.90x = 70,206.14 × 28,213.16
  4. Step 4: Simplify right side
    50,873.90x = 1,980,737,060.80
  5. Step 5: Solve for x
    x = 1,980,737,060.80/50,873.90
  6. Step 6: Final answer
    x = 38,934.25

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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.