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Finding the Fourth Proportional to 71,358.90, 107,050.73 and 23,978.62

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Solution

The fourth proportional to 71,358.90, 107,050.73 and 23,978.62 is: 35,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,358.90 : 107,050.73 = 23,978.62 : x
  2. Step 2: Convert to fraction form
    71,358.90/107,050.73 = 23,978.62/x
  3. Step 3: Cross multiply
    71,358.90x = 107,050.73 × 23,978.62
  4. Step 4: Simplify right side
    71,358.90x = 2,566,928,775.39
  5. Step 5: Solve for x
    x = 2,566,928,775.39/71,358.90
  6. Step 6: Final answer
    x = 35,972.09

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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.