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Finding the Fourth Proportional to 53,161.72, 73,313.89 and 38,798.80

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Solution

The fourth proportional to 53,161.72, 73,313.89 and 38,798.80 is: 53,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,161.72 : 73,313.89 = 38,798.80 : x
  2. Step 2: Convert to fraction form
    53,161.72/73,313.89 = 38,798.80/x
  3. Step 3: Cross multiply
    53,161.72x = 73,313.89 × 38,798.80
  4. Step 4: Simplify right side
    53,161.72x = 2,844,491,047.94
  5. Step 5: Solve for x
    x = 2,844,491,047.94/53,161.72
  6. Step 6: Final answer
    x = 53,506.38

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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.