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Finding the Fourth Proportional to 32,961.28, 49,441.40 and 8,001.54

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Solution

The fourth proportional to 32,961.28, 49,441.40 and 8,001.54 is: 12,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.28 : 49,441.40 = 8,001.54 : x
  2. Step 2: Convert to fraction form
    32,961.28/49,441.40 = 8,001.54/x
  3. Step 3: Cross multiply
    32,961.28x = 49,441.40 × 8,001.54
  4. Step 4: Simplify right side
    32,961.28x = 395,607,339.76
  5. Step 5: Solve for x
    x = 395,607,339.76/32,961.28
  6. Step 6: Final answer
    x = 12,002.18

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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.