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Finding the Fourth Proportional to 41,157.86, 56,797.86 and 22,295

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Solution

The fourth proportional to 41,157.86, 56,797.86 and 22,295 is: 30,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,157.86 : 56,797.86 = 22,295 : x
  2. Step 2: Convert to fraction form
    41,157.86/56,797.86 = 22,295/x
  3. Step 3: Cross multiply
    41,157.86x = 56,797.86 × 22,295
  4. Step 4: Simplify right side
    41,157.86x = 1,266,308,288.70
  5. Step 5: Solve for x
    x = 1,266,308,288.70/41,157.86
  6. Step 6: Final answer
    x = 30,767.11

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Why These Related Problems?

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