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Finding the Fourth Proportional to 71,506.43, 107,254.44 and 29,375.07

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Solution

The fourth proportional to 71,506.43, 107,254.44 and 29,375.07 is: 44,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506.43 : 107,254.44 = 29,375.07 : x
  2. Step 2: Convert to fraction form
    71,506.43/107,254.44 = 29,375.07/x
  3. Step 3: Cross multiply
    71,506.43x = 107,254.44 × 29,375.07
  4. Step 4: Simplify right side
    71,506.43x = 3,150,606,682.81
  5. Step 5: Solve for x
    x = 3,150,606,682.81/71,506.43
  6. Step 6: Final answer
    x = 44,060.47

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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.