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Finding the Fourth Proportional to 37,489.45, 51,701.93 and 31,105.93

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Solution

The fourth proportional to 37,489.45, 51,701.93 and 31,105.93 is: 42,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,489.45 : 51,701.93 = 31,105.93 : x
  2. Step 2: Convert to fraction form
    37,489.45/51,701.93 = 31,105.93/x
  3. Step 3: Cross multiply
    37,489.45x = 51,701.93 × 31,105.93
  4. Step 4: Simplify right side
    37,489.45x = 1,608,236,615.44
  5. Step 5: Solve for x
    x = 1,608,236,615.44/37,489.45
  6. Step 6: Final answer
    x = 42,898.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.