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Finding the Fourth Proportional to 36,227.32, 49,946.92 and 23,457.80

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Solution

The fourth proportional to 36,227.32, 49,946.92 and 23,457.80 is: 32,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,227.32 : 49,946.92 = 23,457.80 : x
  2. Step 2: Convert to fraction form
    36,227.32/49,946.92 = 23,457.80/x
  3. Step 3: Cross multiply
    36,227.32x = 49,946.92 × 23,457.80
  4. Step 4: Simplify right side
    36,227.32x = 1,171,644,859.98
  5. Step 5: Solve for x
    x = 1,171,644,859.98/36,227.32
  6. Step 6: Final answer
    x = 32,341.47

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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.