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Finding the Fourth Proportional to 71,305.91, 106,975.06 and 38,008.43

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Solution

The fourth proportional to 71,305.91, 106,975.06 and 38,008.43 is: 57,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,305.91 : 106,975.06 = 38,008.43 : x
  2. Step 2: Convert to fraction form
    71,305.91/106,975.06 = 38,008.43/x
  3. Step 3: Cross multiply
    71,305.91x = 106,975.06 × 38,008.43
  4. Step 4: Simplify right side
    71,305.91x = 4,065,953,449.86
  5. Step 5: Solve for x
    x = 4,065,953,449.86/71,305.91
  6. Step 6: Final answer
    x = 57,021.27

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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.