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Finding the Fourth Proportional to 32,797.85, 49,187.43 and 9,099.57

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Solution

The fourth proportional to 32,797.85, 49,187.43 and 9,099.57 is: 13,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.85 : 49,187.43 = 9,099.57 : x
  2. Step 2: Convert to fraction form
    32,797.85/49,187.43 = 9,099.57/x
  3. Step 3: Cross multiply
    32,797.85x = 49,187.43 × 9,099.57
  4. Step 4: Simplify right side
    32,797.85x = 447,584,462.41
  5. Step 5: Solve for x
    x = 447,584,462.41/32,797.85
  6. Step 6: Final answer
    x = 13,646.76

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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.