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Finding the Fourth Proportional to 38,103.94, 52,584.16 and 22,806.22

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Solution

The fourth proportional to 38,103.94, 52,584.16 and 22,806.22 is: 31,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,103.94 : 52,584.16 = 22,806.22 : x
  2. Step 2: Convert to fraction form
    38,103.94/52,584.16 = 22,806.22/x
  3. Step 3: Cross multiply
    38,103.94x = 52,584.16 × 22,806.22
  4. Step 4: Simplify right side
    38,103.94x = 1,199,245,921.48
  5. Step 5: Solve for x
    x = 1,199,245,921.48/38,103.94
  6. Step 6: Final answer
    x = 31,473.02

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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.