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Finding the Fourth Proportional to 53,546.44, 73,894.50 and 29,673.50

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Solution

The fourth proportional to 53,546.44, 73,894.50 and 29,673.50 is: 40,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,546.44 : 73,894.50 = 29,673.50 : x
  2. Step 2: Convert to fraction form
    53,546.44/73,894.50 = 29,673.50/x
  3. Step 3: Cross multiply
    53,546.44x = 73,894.50 × 29,673.50
  4. Step 4: Simplify right side
    53,546.44x = 2,192,708,445.75
  5. Step 5: Solve for x
    x = 2,192,708,445.75/53,546.44
  6. Step 6: Final answer
    x = 40,949.66

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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.