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Finding the Fourth Proportional to 32,714.37, 49,066.83 and 10,524.87

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Solution

The fourth proportional to 32,714.37, 49,066.83 and 10,524.87 is: 15,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.37 : 49,066.83 = 10,524.87 : x
  2. Step 2: Convert to fraction form
    32,714.37/49,066.83 = 10,524.87/x
  3. Step 3: Cross multiply
    32,714.37x = 49,066.83 × 10,524.87
  4. Step 4: Simplify right side
    32,714.37x = 516,422,007.06
  5. Step 5: Solve for x
    x = 516,422,007.06/32,714.37
  6. Step 6: Final answer
    x = 15,785.78

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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.