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Finding the Fourth Proportional to 71,138.43, 106,676.03 and 37,851.48

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Solution

The fourth proportional to 71,138.43, 106,676.03 and 37,851.48 is: 56,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138.43 : 106,676.03 = 37,851.48 : x
  2. Step 2: Convert to fraction form
    71,138.43/106,676.03 = 37,851.48/x
  3. Step 3: Cross multiply
    71,138.43x = 106,676.03 × 37,851.48
  4. Step 4: Simplify right side
    71,138.43x = 4,037,845,426.77
  5. Step 5: Solve for x
    x = 4,037,845,426.77/71,138.43
  6. Step 6: Final answer
    x = 56,760.40

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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.