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Finding the Fourth Proportional to 71,830.72, 107,627.28 and 36,722.08

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Solution

The fourth proportional to 71,830.72, 107,627.28 and 36,722.08 is: 55,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,830.72 : 107,627.28 = 36,722.08 : x
  2. Step 2: Convert to fraction form
    71,830.72/107,627.28 = 36,722.08/x
  3. Step 3: Cross multiply
    71,830.72x = 107,627.28 × 36,722.08
  4. Step 4: Simplify right side
    71,830.72x = 3,952,297,586.34
  5. Step 5: Solve for x
    x = 3,952,297,586.34/71,830.72
  6. Step 6: Final answer
    x = 55,022.39

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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.