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Finding the Fourth Proportional to 32,796.33, 49,194.78 and 9,422.76

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Solution

The fourth proportional to 32,796.33, 49,194.78 and 9,422.76 is: 14,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796.33 : 49,194.78 = 9,422.76 : x
  2. Step 2: Convert to fraction form
    32,796.33/49,194.78 = 9,422.76/x
  3. Step 3: Cross multiply
    32,796.33x = 49,194.78 × 9,422.76
  4. Step 4: Simplify right side
    32,796.33x = 463,550,605.19
  5. Step 5: Solve for x
    x = 463,550,605.19/32,796.33
  6. Step 6: Final answer
    x = 14,134.22

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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.