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Finding the Fourth Proportional to 32,854.44, 49,284.36 and 9,481.08

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Solution

The fourth proportional to 32,854.44, 49,284.36 and 9,481.08 is: 14,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.44 : 49,284.36 = 9,481.08 : x
  2. Step 2: Convert to fraction form
    32,854.44/49,284.36 = 9,481.08/x
  3. Step 3: Cross multiply
    32,854.44x = 49,284.36 × 9,481.08
  4. Step 4: Simplify right side
    32,854.44x = 467,268,959.91
  5. Step 5: Solve for x
    x = 467,268,959.91/32,854.44
  6. Step 6: Final answer
    x = 14,222.40

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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.