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Finding the Fourth Proportional to 38,855.84, 53,607.20 and 22,932.32

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Solution

The fourth proportional to 38,855.84, 53,607.20 and 22,932.32 is: 31,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,855.84 : 53,607.20 = 22,932.32 : x
  2. Step 2: Convert to fraction form
    38,855.84/53,607.20 = 22,932.32/x
  3. Step 3: Cross multiply
    38,855.84x = 53,607.20 × 22,932.32
  4. Step 4: Simplify right side
    38,855.84x = 1,229,337,464.70
  5. Step 5: Solve for x
    x = 1,229,337,464.70/38,855.84
  6. Step 6: Final answer
    x = 31,638.42

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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.