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Finding the Fourth Proportional to 32,796.76, 49,195.14 and 9,423.22

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Solution

The fourth proportional to 32,796.76, 49,195.14 and 9,423.22 is: 14,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796.76 : 49,195.14 = 9,423.22 : x
  2. Step 2: Convert to fraction form
    32,796.76/49,195.14 = 9,423.22/x
  3. Step 3: Cross multiply
    32,796.76x = 49,195.14 × 9,423.22
  4. Step 4: Simplify right side
    32,796.76x = 463,576,627.15
  5. Step 5: Solve for x
    x = 463,576,627.15/32,796.76
  6. Step 6: Final answer
    x = 14,134.83

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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.