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Finding the Fourth Proportional to 73,057.76, 109,575.69 and 23,131.39

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Solution

The fourth proportional to 73,057.76, 109,575.69 and 23,131.39 is: 34,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,057.76 : 109,575.69 = 23,131.39 : x
  2. Step 2: Convert to fraction form
    73,057.76/109,575.69 = 23,131.39/x
  3. Step 3: Cross multiply
    73,057.76x = 109,575.69 × 23,131.39
  4. Step 4: Simplify right side
    73,057.76x = 2,534,637,864.68
  5. Step 5: Solve for x
    x = 2,534,637,864.68/73,057.76
  6. Step 6: Final answer
    x = 34,693.61

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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.