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Finding the Fourth Proportional to 51,508.93, 71,074.20 and 30,002.21

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Solution

The fourth proportional to 51,508.93, 71,074.20 and 30,002.21 is: 41,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508.93 : 71,074.20 = 30,002.21 : x
  2. Step 2: Convert to fraction form
    51,508.93/71,074.20 = 30,002.21/x
  3. Step 3: Cross multiply
    51,508.93x = 71,074.20 × 30,002.21
  4. Step 4: Simplify right side
    51,508.93x = 2,132,383,251.67
  5. Step 5: Solve for x
    x = 2,132,383,251.67/51,508.93
  6. Step 6: Final answer
    x = 41,398.32

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