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Finding the Fourth Proportional to 32,829.24, 49,239.72 and 10,640.64

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Solution

The fourth proportional to 32,829.24, 49,239.72 and 10,640.64 is: 15,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.24 : 49,239.72 = 10,640.64 : x
  2. Step 2: Convert to fraction form
    32,829.24/49,239.72 = 10,640.64/x
  3. Step 3: Cross multiply
    32,829.24x = 49,239.72 × 10,640.64
  4. Step 4: Simplify right side
    32,829.24x = 523,942,134.22
  5. Step 5: Solve for x
    x = 523,942,134.22/32,829.24
  6. Step 6: Final answer
    x = 15,959.62

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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.