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Finding the Fourth Proportional to 50,830.12, 70,144.50 and 28,168.90

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Solution

The fourth proportional to 50,830.12, 70,144.50 and 28,168.90 is: 38,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,830.12 : 70,144.50 = 28,168.90 : x
  2. Step 2: Convert to fraction form
    50,830.12/70,144.50 = 28,168.90/x
  3. Step 3: Cross multiply
    50,830.12x = 70,144.50 × 28,168.90
  4. Step 4: Simplify right side
    50,830.12x = 1,975,893,406.05
  5. Step 5: Solve for x
    x = 1,975,893,406.05/50,830.12
  6. Step 6: Final answer
    x = 38,872.49

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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.