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Finding the Fourth Proportional to 32,967.71, 49,450.86 and 8,007.87

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Solution

The fourth proportional to 32,967.71, 49,450.86 and 8,007.87 is: 12,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.71 : 49,450.86 = 8,007.87 : x
  2. Step 2: Convert to fraction form
    32,967.71/49,450.86 = 8,007.87/x
  3. Step 3: Cross multiply
    32,967.71x = 49,450.86 × 8,007.87
  4. Step 4: Simplify right side
    32,967.71x = 395,996,058.27
  5. Step 5: Solve for x
    x = 395,996,058.27/32,967.71
  6. Step 6: Final answer
    x = 12,011.64

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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.