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Finding the Fourth Proportional to 38,446.43, 53,046.05 and 22,522.32

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Solution

The fourth proportional to 38,446.43, 53,046.05 and 22,522.32 is: 31,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,446.43 : 53,046.05 = 22,522.32 : x
  2. Step 2: Convert to fraction form
    38,446.43/53,046.05 = 22,522.32/x
  3. Step 3: Cross multiply
    38,446.43x = 53,046.05 × 22,522.32
  4. Step 4: Simplify right side
    38,446.43x = 1,194,720,000.22
  5. Step 5: Solve for x
    x = 1,194,720,000.22/38,446.43
  6. Step 6: Final answer
    x = 31,074.93

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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.