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Finding the Fourth Proportional to 48,376.76, 67,028.77 and 47,327

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Solution

The fourth proportional to 48,376.76, 67,028.77 and 47,327 is: 65,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,376.76 : 67,028.77 = 47,327 : x
  2. Step 2: Convert to fraction form
    48,376.76/67,028.77 = 47,327/x
  3. Step 3: Cross multiply
    48,376.76x = 67,028.77 × 47,327
  4. Step 4: Simplify right side
    48,376.76x = 3,172,270,597.79
  5. Step 5: Solve for x
    x = 3,172,270,597.79/48,376.76
  6. Step 6: Final answer
    x = 65,574.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.