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Finding the Fourth Proportional to 37,873.56, 56,818.55 and 14,500

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Solution

The fourth proportional to 37,873.56, 56,818.55 and 14,500 is: 21,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,873.56 : 56,818.55 = 14,500 : x
  2. Step 2: Convert to fraction form
    37,873.56/56,818.55 = 14,500/x
  3. Step 3: Cross multiply
    37,873.56x = 56,818.55 × 14,500
  4. Step 4: Simplify right side
    37,873.56x = 823,868,975
  5. Step 5: Solve for x
    x = 823,868,975/37,873.56
  6. Step 6: Final answer
    x = 21,753.14

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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.