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Finding the Fourth Proportional to 37,898.77, 52,305.15 and 31,514.38

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Solution

The fourth proportional to 37,898.77, 52,305.15 and 31,514.38 is: 43,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,898.77 : 52,305.15 = 31,514.38 : x
  2. Step 2: Convert to fraction form
    37,898.77/52,305.15 = 31,514.38/x
  3. Step 3: Cross multiply
    37,898.77x = 52,305.15 × 31,514.38
  4. Step 4: Simplify right side
    37,898.77x = 1,648,364,373.06
  5. Step 5: Solve for x
    x = 1,648,364,373.06/37,898.77
  6. Step 6: Final answer
    x = 43,493.88

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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.