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Finding the Fourth Proportional to 50,393.12, 75,563.76 and 22,676

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Solution

The fourth proportional to 50,393.12, 75,563.76 and 22,676 is: 34,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,393.12 : 75,563.76 = 22,676 : x
  2. Step 2: Convert to fraction form
    50,393.12/75,563.76 = 22,676/x
  3. Step 3: Cross multiply
    50,393.12x = 75,563.76 × 22,676
  4. Step 4: Simplify right side
    50,393.12x = 1,713,483,821.76
  5. Step 5: Solve for x
    x = 1,713,483,821.76/50,393.12
  6. Step 6: Final answer
    x = 34,002.34

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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.