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Finding the Fourth Proportional to 71,067.81, 106,566.06 and 23,666.19

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Solution

The fourth proportional to 71,067.81, 106,566.06 and 23,666.19 is: 35,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067.81 : 106,566.06 = 23,666.19 : x
  2. Step 2: Convert to fraction form
    71,067.81/106,566.06 = 23,666.19/x
  3. Step 3: Cross multiply
    71,067.81x = 106,566.06 × 23,666.19
  4. Step 4: Simplify right side
    71,067.81x = 2,522,012,623.51
  5. Step 5: Solve for x
    x = 2,522,012,623.51/71,067.81
  6. Step 6: Final answer
    x = 35,487.41

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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.