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Finding the Fourth Proportional to 32,778.86, 49,168.30 and 8,154.86

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Solution

The fourth proportional to 32,778.86, 49,168.30 and 8,154.86 is: 12,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.86 : 49,168.30 = 8,154.86 : x
  2. Step 2: Convert to fraction form
    32,778.86/49,168.30 = 8,154.86/x
  3. Step 3: Cross multiply
    32,778.86x = 49,168.30 × 8,154.86
  4. Step 4: Simplify right side
    32,778.86x = 400,960,602.94
  5. Step 5: Solve for x
    x = 400,960,602.94/32,778.86
  6. Step 6: Final answer
    x = 12,232.29

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1.5x scale

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.