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Finding the Fourth Proportional to 38,158.64, 52,649.54 and 22,850.22

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Solution

The fourth proportional to 38,158.64, 52,649.54 and 22,850.22 is: 31,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,158.64 : 52,649.54 = 22,850.22 : x
  2. Step 2: Convert to fraction form
    38,158.64/52,649.54 = 22,850.22/x
  3. Step 3: Cross multiply
    38,158.64x = 52,649.54 × 22,850.22
  4. Step 4: Simplify right side
    38,158.64x = 1,203,053,457.65
  5. Step 5: Solve for x
    x = 1,203,053,457.65/38,158.64
  6. Step 6: Final answer
    x = 31,527.68

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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.