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Finding the Fourth Proportional to 53,194.68, 73,330.20 and 34,072.20

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Solution

The fourth proportional to 53,194.68, 73,330.20 and 34,072.20 is: 46,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,194.68 : 73,330.20 = 34,072.20 : x
  2. Step 2: Convert to fraction form
    53,194.68/73,330.20 = 34,072.20/x
  3. Step 3: Cross multiply
    53,194.68x = 73,330.20 × 34,072.20
  4. Step 4: Simplify right side
    53,194.68x = 2,498,521,240.44
  5. Step 5: Solve for x
    x = 2,498,521,240.44/53,194.68
  6. Step 6: Final answer
    x = 46,969.38

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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.