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Finding the Fourth Proportional to 32,975.71, 49,463.10 and 8,015.68

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Solution

The fourth proportional to 32,975.71, 49,463.10 and 8,015.68 is: 12,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975.71 : 49,463.10 = 8,015.68 : x
  2. Step 2: Convert to fraction form
    32,975.71/49,463.10 = 8,015.68/x
  3. Step 3: Cross multiply
    32,975.71x = 49,463.10 × 8,015.68
  4. Step 4: Simplify right side
    32,975.71x = 396,480,257.75
  5. Step 5: Solve for x
    x = 396,480,257.75/32,975.71
  6. Step 6: Final answer
    x = 12,023.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.