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Finding the Fourth Proportional to 71,199.90, 106,767.45 and 37,911.42

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Solution

The fourth proportional to 71,199.90, 106,767.45 and 37,911.42 is: 56,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,199.90 : 106,767.45 = 37,911.42 : x
  2. Step 2: Convert to fraction form
    71,199.90/106,767.45 = 37,911.42/x
  3. Step 3: Cross multiply
    71,199.90x = 106,767.45 × 37,911.42
  4. Step 4: Simplify right side
    71,199.90x = 4,047,705,639.28
  5. Step 5: Solve for x
    x = 4,047,705,639.28/71,199.90
  6. Step 6: Final answer
    x = 56,849.88

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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.