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Finding the Fourth Proportional to 71,067.29, 106,656.65 and 49,580.28

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Solution

The fourth proportional to 71,067.29, 106,656.65 and 49,580.28 is: 74,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067.29 : 106,656.65 = 49,580.28 : x
  2. Step 2: Convert to fraction form
    71,067.29/106,656.65 = 49,580.28/x
  3. Step 3: Cross multiply
    71,067.29x = 106,656.65 × 49,580.28
  4. Step 4: Simplify right side
    71,067.29x = 5,288,066,570.86
  5. Step 5: Solve for x
    x = 5,288,066,570.86/71,067.29
  6. Step 6: Final answer
    x = 74,409.29

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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.