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Finding the Fourth Proportional to 38,573.17, 53,223.78 and 22,651.81

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Solution

The fourth proportional to 38,573.17, 53,223.78 and 22,651.81 is: 31,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.17 : 53,223.78 = 22,651.81 : x
  2. Step 2: Convert to fraction form
    38,573.17/53,223.78 = 22,651.81/x
  3. Step 3: Cross multiply
    38,573.17x = 53,223.78 × 22,651.81
  4. Step 4: Simplify right side
    38,573.17x = 1,205,614,952.04
  5. Step 5: Solve for x
    x = 1,205,614,952.04/38,573.17
  6. Step 6: Final answer
    x = 31,255.27

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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.