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Finding the Fourth Proportional to 53,369.33, 73,649.77 and 29,496

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Solution

The fourth proportional to 53,369.33, 73,649.77 and 29,496 is: 40,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,369.33 : 73,649.77 = 29,496 : x
  2. Step 2: Convert to fraction form
    53,369.33/73,649.77 = 29,496/x
  3. Step 3: Cross multiply
    53,369.33x = 73,649.77 × 29,496
  4. Step 4: Simplify right side
    53,369.33x = 2,172,373,615.92
  5. Step 5: Solve for x
    x = 2,172,373,615.92/53,369.33
  6. Step 6: Final answer
    x = 40,704.53

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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.