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Finding the Fourth Proportional to 38,441.82, 53,045.67 and 22,523.30

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Solution

The fourth proportional to 38,441.82, 53,045.67 and 22,523.30 is: 31,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.82 : 53,045.67 = 22,523.30 : x
  2. Step 2: Convert to fraction form
    38,441.82/53,045.67 = 22,523.30/x
  3. Step 3: Cross multiply
    38,441.82x = 53,045.67 × 22,523.30
  4. Step 4: Simplify right side
    38,441.82x = 1,194,763,539.11
  5. Step 5: Solve for x
    x = 1,194,763,539.11/38,441.82
  6. Step 6: Final answer
    x = 31,079.79

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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.