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Finding the Fourth Proportional to 50,662.38, 69,911.84 and 29,151.20

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Solution

The fourth proportional to 50,662.38, 69,911.84 and 29,151.20 is: 40,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,662.38 : 69,911.84 = 29,151.20 : x
  2. Step 2: Convert to fraction form
    50,662.38/69,911.84 = 29,151.20/x
  3. Step 3: Cross multiply
    50,662.38x = 69,911.84 × 29,151.20
  4. Step 4: Simplify right side
    50,662.38x = 2,038,014,030.21
  5. Step 5: Solve for x
    x = 2,038,014,030.21/50,662.38
  6. Step 6: Final answer
    x = 40,227.36

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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.