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Finding the Fourth Proportional to 71,239.68, 107,053.38 and 37,983.24

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Solution

The fourth proportional to 71,239.68, 107,053.38 and 37,983.24 is: 57,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,239.68 : 107,053.38 = 37,983.24 : x
  2. Step 2: Convert to fraction form
    71,239.68/107,053.38 = 37,983.24/x
  3. Step 3: Cross multiply
    71,239.68x = 107,053.38 × 37,983.24
  4. Step 4: Simplify right side
    71,239.68x = 4,066,234,225.35
  5. Step 5: Solve for x
    x = 4,066,234,225.35/71,239.68
  6. Step 6: Final answer
    x = 57,078.22

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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.