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Finding the Fourth Proportional to 32,194.53, 48,298.64 and 10,007.37

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Solution

The fourth proportional to 32,194.53, 48,298.64 and 10,007.37 is: 15,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.53 : 48,298.64 = 10,007.37 : x
  2. Step 2: Convert to fraction form
    32,194.53/48,298.64 = 10,007.37/x
  3. Step 3: Cross multiply
    32,194.53x = 48,298.64 × 10,007.37
  4. Step 4: Simplify right side
    32,194.53x = 483,342,310.94
  5. Step 5: Solve for x
    x = 483,342,310.94/32,194.53
  6. Step 6: Final answer
    x = 15,013.18

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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.