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Finding the Fourth Proportional to 50,002.20, 75,004.10 and 13,066.20

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Solution

The fourth proportional to 50,002.20, 75,004.10 and 13,066.20 is: 19,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,002.20 : 75,004.10 = 13,066.20 : x
  2. Step 2: Convert to fraction form
    50,002.20/75,004.10 = 13,066.20/x
  3. Step 3: Cross multiply
    50,002.20x = 75,004.10 × 13,066.20
  4. Step 4: Simplify right side
    50,002.20x = 980,018,571.42
  5. Step 5: Solve for x
    x = 980,018,571.42/50,002.20
  6. Step 6: Final answer
    x = 19,599.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.