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Finding the Fourth Proportional to 53,508.69, 73,846.17 and 29,637.63

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Solution

The fourth proportional to 53,508.69, 73,846.17 and 29,637.63 is: 40,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,508.69 : 73,846.17 = 29,637.63 : x
  2. Step 2: Convert to fraction form
    53,508.69/73,846.17 = 29,637.63/x
  3. Step 3: Cross multiply
    53,508.69x = 73,846.17 × 29,637.63
  4. Step 4: Simplify right side
    53,508.69x = 2,188,625,463.38
  5. Step 5: Solve for x
    x = 2,188,625,463.38/53,508.69
  6. Step 6: Final answer
    x = 40,902.24

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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.