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Finding the Fourth Proportional to 71,066.09, 98,067.69 and 40,830

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Solution

The fourth proportional to 71,066.09, 98,067.69 and 40,830 is: 56,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,066.09 : 98,067.69 = 40,830 : x
  2. Step 2: Convert to fraction form
    71,066.09/98,067.69 = 40,830/x
  3. Step 3: Cross multiply
    71,066.09x = 98,067.69 × 40,830
  4. Step 4: Simplify right side
    71,066.09x = 4,004,103,782.70
  5. Step 5: Solve for x
    x = 4,004,103,782.70/71,066.09
  6. Step 6: Final answer
    x = 56,343.38

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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.