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Finding the Fourth Proportional to 71,207.96, 106,876.14 and 37,955.72

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Solution

The fourth proportional to 71,207.96, 106,876.14 and 37,955.72 is: 56,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,207.96 : 106,876.14 = 37,955.72 : x
  2. Step 2: Convert to fraction form
    71,207.96/106,876.14 = 37,955.72/x
  3. Step 3: Cross multiply
    71,207.96x = 106,876.14 × 37,955.72
  4. Step 4: Simplify right side
    71,207.96x = 4,056,560,844.52
  5. Step 5: Solve for x
    x = 4,056,560,844.52/71,207.96
  6. Step 6: Final answer
    x = 56,967.80

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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.