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Finding the Fourth Proportional to 71,057.82, 106,597.26 and 23,657.43

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Solution

The fourth proportional to 71,057.82, 106,597.26 and 23,657.43 is: 35,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,057.82 : 106,597.26 = 23,657.43 : x
  2. Step 2: Convert to fraction form
    71,057.82/106,597.26 = 23,657.43/x
  3. Step 3: Cross multiply
    71,057.82x = 106,597.26 × 23,657.43
  4. Step 4: Simplify right side
    71,057.82x = 2,521,817,216.64
  5. Step 5: Solve for x
    x = 2,521,817,216.64/71,057.82
  6. Step 6: Final answer
    x = 35,489.65

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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.