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Finding the Fourth Proportional to 53,605.14, 73,978.65 and 29,732.82

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Solution

The fourth proportional to 53,605.14, 73,978.65 and 29,732.82 is: 41,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,605.14 : 73,978.65 = 29,732.82 : x
  2. Step 2: Convert to fraction form
    53,605.14/73,978.65 = 29,732.82/x
  3. Step 3: Cross multiply
    53,605.14x = 73,978.65 × 29,732.82
  4. Step 4: Simplify right side
    53,605.14x = 2,199,593,884.29
  5. Step 5: Solve for x
    x = 2,199,593,884.29/53,605.14
  6. Step 6: Final answer
    x = 41,033.26

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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.