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Finding the Fourth Proportional to 54,781.34, 75,600.22 and 31,809.44

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Solution

The fourth proportional to 54,781.34, 75,600.22 and 31,809.44 is: 43,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,781.34 : 75,600.22 = 31,809.44 : x
  2. Step 2: Convert to fraction form
    54,781.34/75,600.22 = 31,809.44/x
  3. Step 3: Cross multiply
    54,781.34x = 75,600.22 × 31,809.44
  4. Step 4: Simplify right side
    54,781.34x = 2,404,800,771.55
  5. Step 5: Solve for x
    x = 2,404,800,771.55/54,781.34
  6. Step 6: Final answer
    x = 43,898.17

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1.5x scale

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.