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Finding the Fourth Proportional to 48,829.86, 67,383.18 and 27,608.58

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Solution

The fourth proportional to 48,829.86, 67,383.18 and 27,608.58 is: 38,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,829.86 : 67,383.18 = 27,608.58 : x
  2. Step 2: Convert to fraction form
    48,829.86/67,383.18 = 27,608.58/x
  3. Step 3: Cross multiply
    48,829.86x = 67,383.18 × 27,608.58
  4. Step 4: Simplify right side
    48,829.86x = 1,860,353,915.68
  5. Step 5: Solve for x
    x = 1,860,353,915.68/48,829.86
  6. Step 6: Final answer
    x = 38,098.69

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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.