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Finding the Fourth Proportional to 32,770.89, 49,156.32 and 8,146.89

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Solution

The fourth proportional to 32,770.89, 49,156.32 and 8,146.89 is: 12,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.89 : 49,156.32 = 8,146.89 : x
  2. Step 2: Convert to fraction form
    32,770.89/49,156.32 = 8,146.89/x
  3. Step 3: Cross multiply
    32,770.89x = 49,156.32 × 8,146.89
  4. Step 4: Simplify right side
    32,770.89x = 400,471,131.84
  5. Step 5: Solve for x
    x = 400,471,131.84/32,770.89
  6. Step 6: Final answer
    x = 12,220.33

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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.