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Finding the Fourth Proportional to 43,222.40, 64,379.04 and 41,200

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Solution

The fourth proportional to 43,222.40, 64,379.04 and 41,200 is: 61,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,222.40 : 64,379.04 = 41,200 : x
  2. Step 2: Convert to fraction form
    43,222.40/64,379.04 = 41,200/x
  3. Step 3: Cross multiply
    43,222.40x = 64,379.04 × 41,200
  4. Step 4: Simplify right side
    43,222.40x = 2,652,416,448
  5. Step 5: Solve for x
    x = 2,652,416,448/43,222.40
  6. Step 6: Final answer
    x = 61,366.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.