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Finding the Fourth Proportional to 53,586.78, 73,947.02 and 29,713.22

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Solution

The fourth proportional to 53,586.78, 73,947.02 and 29,713.22 is: 41,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,586.78 : 73,947.02 = 29,713.22 : x
  2. Step 2: Convert to fraction form
    53,586.78/73,947.02 = 29,713.22/x
  3. Step 3: Cross multiply
    53,586.78x = 73,947.02 × 29,713.22
  4. Step 4: Simplify right side
    53,586.78x = 2,197,204,073.60
  5. Step 5: Solve for x
    x = 2,197,204,073.60/53,586.78
  6. Step 6: Final answer
    x = 41,002.73

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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.