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Finding the Fourth Proportional to 32,036.28, 48,055.14 and 8,344.74

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Solution

The fourth proportional to 32,036.28, 48,055.14 and 8,344.74 is: 12,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,036.28 : 48,055.14 = 8,344.74 : x
  2. Step 2: Convert to fraction form
    32,036.28/48,055.14 = 8,344.74/x
  3. Step 3: Cross multiply
    32,036.28x = 48,055.14 × 8,344.74
  4. Step 4: Simplify right side
    32,036.28x = 401,007,648.96
  5. Step 5: Solve for x
    x = 401,007,648.96/32,036.28
  6. Step 6: Final answer
    x = 12,517.30

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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.