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Finding the Fourth Proportional to 38,794.56, 53,523.72 and 22,658.16

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Solution

The fourth proportional to 38,794.56, 53,523.72 and 22,658.16 is: 31,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794.56 : 53,523.72 = 22,658.16 : x
  2. Step 2: Convert to fraction form
    38,794.56/53,523.72 = 22,658.16/x
  3. Step 3: Cross multiply
    38,794.56x = 53,523.72 × 22,658.16
  4. Step 4: Simplify right side
    38,794.56x = 1,212,749,011.56
  5. Step 5: Solve for x
    x = 1,212,749,011.56/38,794.56
  6. Step 6: Final answer
    x = 31,260.80

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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.