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Finding the Fourth Proportional to 32,923.70, 49,385.55 and 8,299.70

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Solution

The fourth proportional to 32,923.70, 49,385.55 and 8,299.70 is: 12,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923.70 : 49,385.55 = 8,299.70 : x
  2. Step 2: Convert to fraction form
    32,923.70/49,385.55 = 8,299.70/x
  3. Step 3: Cross multiply
    32,923.70x = 49,385.55 × 8,299.70
  4. Step 4: Simplify right side
    32,923.70x = 409,885,249.34
  5. Step 5: Solve for x
    x = 409,885,249.34/32,923.70
  6. Step 6: Final answer
    x = 12,449.55

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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.