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Finding the Fourth Proportional to 32,850.72, 49,284.27 and 9,477.15

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Solution

The fourth proportional to 32,850.72, 49,284.27 and 9,477.15 is: 14,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.72 : 49,284.27 = 9,477.15 : x
  2. Step 2: Convert to fraction form
    32,850.72/49,284.27 = 9,477.15/x
  3. Step 3: Cross multiply
    32,850.72x = 49,284.27 × 9,477.15
  4. Step 4: Simplify right side
    32,850.72x = 467,074,419.43
  5. Step 5: Solve for x
    x = 467,074,419.43/32,850.72
  6. Step 6: Final answer
    x = 14,218.09

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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.