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Finding the Fourth Proportional to 50,830.20, 70,145.64 and 28,474.20

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Solution

The fourth proportional to 50,830.20, 70,145.64 and 28,474.20 is: 39,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,830.20 : 70,145.64 = 28,474.20 : x
  2. Step 2: Convert to fraction form
    50,830.20/70,145.64 = 28,474.20/x
  3. Step 3: Cross multiply
    50,830.20x = 70,145.64 × 28,474.20
  4. Step 4: Simplify right side
    50,830.20x = 1,997,340,982.49
  5. Step 5: Solve for x
    x = 1,997,340,982.49/50,830.20
  6. Step 6: Final answer
    x = 39,294.38

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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.