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Finding the Fourth Proportional to 49,593.88, 74,390.82 and 12,657.88

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Solution

The fourth proportional to 49,593.88, 74,390.82 and 12,657.88 is: 18,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,593.88 : 74,390.82 = 12,657.88 : x
  2. Step 2: Convert to fraction form
    49,593.88/74,390.82 = 12,657.88/x
  3. Step 3: Cross multiply
    49,593.88x = 74,390.82 × 12,657.88
  4. Step 4: Simplify right side
    49,593.88x = 941,630,072.66
  5. Step 5: Solve for x
    x = 941,630,072.66/49,593.88
  6. Step 6: Final answer
    x = 18,986.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.