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Finding the Fourth Proportional to 32,842.56, 49,263.84 and 8,218.56

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Solution

The fourth proportional to 32,842.56, 49,263.84 and 8,218.56 is: 12,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.56 : 49,263.84 = 8,218.56 : x
  2. Step 2: Convert to fraction form
    32,842.56/49,263.84 = 8,218.56/x
  3. Step 3: Cross multiply
    32,842.56x = 49,263.84 × 8,218.56
  4. Step 4: Simplify right side
    32,842.56x = 404,877,824.87
  5. Step 5: Solve for x
    x = 404,877,824.87/32,842.56
  6. Step 6: Final answer
    x = 12,327.84

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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.