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Finding the Fourth Proportional to 32,785.50, 49,178.28 and 8,161.50

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Solution

The fourth proportional to 32,785.50, 49,178.28 and 8,161.50 is: 12,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,785.50 : 49,178.28 = 8,161.50 : x
  2. Step 2: Convert to fraction form
    32,785.50/49,178.28 = 8,161.50/x
  3. Step 3: Cross multiply
    32,785.50x = 49,178.28 × 8,161.50
  4. Step 4: Simplify right side
    32,785.50x = 401,368,532.22
  5. Step 5: Solve for x
    x = 401,368,532.22/32,785.50
  6. Step 6: Final answer
    x = 12,242.26

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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.