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Finding the Fourth Proportional to 32,517.36, 48,776.04 and 9,143.82

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Solution

The fourth proportional to 32,517.36, 48,776.04 and 9,143.82 is: 13,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.36 : 48,776.04 = 9,143.82 : x
  2. Step 2: Convert to fraction form
    32,517.36/48,776.04 = 9,143.82/x
  3. Step 3: Cross multiply
    32,517.36x = 48,776.04 × 9,143.82
  4. Step 4: Simplify right side
    32,517.36x = 445,999,330.07
  5. Step 5: Solve for x
    x = 445,999,330.07/32,517.36
  6. Step 6: Final answer
    x = 13,715.73

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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.