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Finding the Fourth Proportional to 41,457.32, 57,209.22 and 22,593.80

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Solution

The fourth proportional to 41,457.32, 57,209.22 and 22,593.80 is: 31,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,457.32 : 57,209.22 = 22,593.80 : x
  2. Step 2: Convert to fraction form
    41,457.32/57,209.22 = 22,593.80/x
  3. Step 3: Cross multiply
    41,457.32x = 57,209.22 × 22,593.80
  4. Step 4: Simplify right side
    41,457.32x = 1,292,573,674.84
  5. Step 5: Solve for x
    x = 1,292,573,674.84/41,457.32
  6. Step 6: Final answer
    x = 31,178.42

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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.