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Finding the Fourth Proportional to 49,773.98, 74,659.10 and 12,334.16

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Solution

The fourth proportional to 49,773.98, 74,659.10 and 12,334.16 is: 18,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,773.98 : 74,659.10 = 12,334.16 : x
  2. Step 2: Convert to fraction form
    49,773.98/74,659.10 = 12,334.16/x
  3. Step 3: Cross multiply
    49,773.98x = 74,659.10 × 12,334.16
  4. Step 4: Simplify right side
    49,773.98x = 920,857,284.86
  5. Step 5: Solve for x
    x = 920,857,284.86/49,773.98
  6. Step 6: Final answer
    x = 18,500.78

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