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Finding the Fourth Proportional to 32,568.78, 48,852.36 and 9,194.88

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Solution

The fourth proportional to 32,568.78, 48,852.36 and 9,194.88 is: 13,792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568.78 : 48,852.36 = 9,194.88 : x
  2. Step 2: Convert to fraction form
    32,568.78/48,852.36 = 9,194.88/x
  3. Step 3: Cross multiply
    32,568.78x = 48,852.36 × 9,194.88
  4. Step 4: Simplify right side
    32,568.78x = 449,191,587.92
  5. Step 5: Solve for x
    x = 449,191,587.92/32,568.78
  6. Step 6: Final answer
    x = 13,792.09

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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.