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Finding the Fourth Proportional to 32,213.93, 48,314.74 and 10,027.58

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Solution

The fourth proportional to 32,213.93, 48,314.74 and 10,027.58 is: 15,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.93 : 48,314.74 = 10,027.58 : x
  2. Step 2: Convert to fraction form
    32,213.93/48,314.74 = 10,027.58/x
  3. Step 3: Cross multiply
    32,213.93x = 48,314.74 × 10,027.58
  4. Step 4: Simplify right side
    32,213.93x = 484,479,920.53
  5. Step 5: Solve for x
    x = 484,479,920.53/32,213.93
  6. Step 6: Final answer
    x = 15,039.45

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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.