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Finding the Fourth Proportional to 107,971.82, 149,001.66 and 59,575.42

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Solution

The fourth proportional to 107,971.82, 149,001.66 and 59,575.42 is: 82,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,971.82 : 149,001.66 = 59,575.42 : x
  2. Step 2: Convert to fraction form
    107,971.82/149,001.66 = 59,575.42/x
  3. Step 3: Cross multiply
    107,971.82x = 149,001.66 × 59,575.42
  4. Step 4: Simplify right side
    107,971.82x = 8,876,836,475.20
  5. Step 5: Solve for x
    x = 8,876,836,475.20/107,971.82
  6. Step 6: Final answer
    x = 82,214.38

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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.