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Finding the Fourth Proportional to 38,664, 53,348.22 and 22,750.20

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Solution

The fourth proportional to 38,664, 53,348.22 and 22,750.20 is: 31,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,664 : 53,348.22 = 22,750.20 : x
  2. Step 2: Convert to fraction form
    38,664/53,348.22 = 22,750.20/x
  3. Step 3: Cross multiply
    38,664x = 53,348.22 × 22,750.20
  4. Step 4: Simplify right side
    38,664x = 1,213,682,674.64
  5. Step 5: Solve for x
    x = 1,213,682,674.64/38,664
  6. Step 6: Final answer
    x = 31,390.51

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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.