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Finding the Fourth Proportional to 38,468.80, 57,703.20 and 12,181.60

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Solution

The fourth proportional to 38,468.80, 57,703.20 and 12,181.60 is: 18,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.80 : 57,703.20 = 12,181.60 : x
  2. Step 2: Convert to fraction form
    38,468.80/57,703.20 = 12,181.60/x
  3. Step 3: Cross multiply
    38,468.80x = 57,703.20 × 12,181.60
  4. Step 4: Simplify right side
    38,468.80x = 702,917,301.12
  5. Step 5: Solve for x
    x = 702,917,301.12/38,468.80
  6. Step 6: Final answer
    x = 18,272.40

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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.