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Finding the Fourth Proportional to 32,540.08, 48,813.36 and 9,166.48

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Solution

The fourth proportional to 32,540.08, 48,813.36 and 9,166.48 is: 13,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,540.08 : 48,813.36 = 9,166.48 : x
  2. Step 2: Convert to fraction form
    32,540.08/48,813.36 = 9,166.48/x
  3. Step 3: Cross multiply
    32,540.08x = 48,813.36 × 9,166.48
  4. Step 4: Simplify right side
    32,540.08x = 447,446,688.17
  5. Step 5: Solve for x
    x = 447,446,688.17/32,540.08
  6. Step 6: Final answer
    x = 13,750.63

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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.