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Finding the Fourth Proportional to 38,696.99, 53,402.43 and 22,563.86

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Solution

The fourth proportional to 38,696.99, 53,402.43 and 22,563.86 is: 31,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.99 : 53,402.43 = 22,563.86 : x
  2. Step 2: Convert to fraction form
    38,696.99/53,402.43 = 22,563.86/x
  3. Step 3: Cross multiply
    38,696.99x = 53,402.43 × 22,563.86
  4. Step 4: Simplify right side
    38,696.99x = 1,204,964,954.18
  5. Step 5: Solve for x
    x = 1,204,964,954.18/38,696.99
  6. Step 6: Final answer
    x = 31,138.47

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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.