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Finding the Fourth Proportional to 38,324.89, 52,894.56 and 22,406.23

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Solution

The fourth proportional to 38,324.89, 52,894.56 and 22,406.23 is: 30,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324.89 : 52,894.56 = 22,406.23 : x
  2. Step 2: Convert to fraction form
    38,324.89/52,894.56 = 22,406.23/x
  3. Step 3: Cross multiply
    38,324.89x = 52,894.56 × 22,406.23
  4. Step 4: Simplify right side
    38,324.89x = 1,185,167,677.11
  5. Step 5: Solve for x
    x = 1,185,167,677.11/38,324.89
  6. Step 6: Final answer
    x = 30,924.23

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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.