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Finding the Fourth Proportional to 53,468.34, 73,785.38 and 29,594.49

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Solution

The fourth proportional to 53,468.34, 73,785.38 and 29,594.49 is: 40,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,468.34 : 73,785.38 = 29,594.49 : x
  2. Step 2: Convert to fraction form
    53,468.34/73,785.38 = 29,594.49/x
  3. Step 3: Cross multiply
    53,468.34x = 73,785.38 × 29,594.49
  4. Step 4: Simplify right side
    53,468.34x = 2,183,640,690.56
  5. Step 5: Solve for x
    x = 2,183,640,690.56/53,468.34
  6. Step 6: Final answer
    x = 40,839.88

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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.