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Finding the Fourth Proportional to 32,966.96, 49,449.74 and 8,007.12

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Solution

The fourth proportional to 32,966.96, 49,449.74 and 8,007.12 is: 12,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966.96 : 49,449.74 = 8,007.12 : x
  2. Step 2: Convert to fraction form
    32,966.96/49,449.74 = 8,007.12/x
  3. Step 3: Cross multiply
    32,966.96x = 49,449.74 × 8,007.12
  4. Step 4: Simplify right side
    32,966.96x = 395,949,962.11
  5. Step 5: Solve for x
    x = 395,949,962.11/32,966.96
  6. Step 6: Final answer
    x = 12,010.51

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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.