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Finding the Fourth Proportional to 37,903.96, 52,279.26 and 27,829.24

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Solution

The fourth proportional to 37,903.96, 52,279.26 and 27,829.24 is: 38,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,903.96 : 52,279.26 = 27,829.24 : x
  2. Step 2: Convert to fraction form
    37,903.96/52,279.26 = 27,829.24/x
  3. Step 3: Cross multiply
    37,903.96x = 52,279.26 × 27,829.24
  4. Step 4: Simplify right side
    37,903.96x = 1,454,892,073.56
  5. Step 5: Solve for x
    x = 1,454,892,073.56/37,903.96
  6. Step 6: Final answer
    x = 38,383.64

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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.