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Finding the Fourth Proportional to 71,085, 106,596.42 and 37,797

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Solution

The fourth proportional to 71,085, 106,596.42 and 37,797 is: 56,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085 : 106,596.42 = 37,797 : x
  2. Step 2: Convert to fraction form
    71,085/106,596.42 = 37,797/x
  3. Step 3: Cross multiply
    71,085x = 106,596.42 × 37,797
  4. Step 4: Simplify right side
    71,085x = 4,029,024,886.74
  5. Step 5: Solve for x
    x = 4,029,024,886.74/71,085
  6. Step 6: Final answer
    x = 56,678.97

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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.