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Finding the Fourth Proportional to 41,206.56, 56,865 and 22,343.64

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Solution

The fourth proportional to 41,206.56, 56,865 and 22,343.64 is: 30,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206.56 : 56,865 = 22,343.64 : x
  2. Step 2: Convert to fraction form
    41,206.56/56,865 = 22,343.64/x
  3. Step 3: Cross multiply
    41,206.56x = 56,865 × 22,343.64
  4. Step 4: Simplify right side
    41,206.56x = 1,270,571,088.60
  5. Step 5: Solve for x
    x = 1,270,571,088.60/41,206.56
  6. Step 6: Final answer
    x = 30,834.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.