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Finding the Fourth Proportional to 104,593.24, 156,915.78 and 30,721.24

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Solution

The fourth proportional to 104,593.24, 156,915.78 and 30,721.24 is: 46,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,593.24 : 156,915.78 = 30,721.24 : x
  2. Step 2: Convert to fraction form
    104,593.24/156,915.78 = 30,721.24/x
  3. Step 3: Cross multiply
    104,593.24x = 156,915.78 × 30,721.24
  4. Step 4: Simplify right side
    104,593.24x = 4,820,647,337.17
  5. Step 5: Solve for x
    x = 4,820,647,337.17/104,593.24
  6. Step 6: Final answer
    x = 46,089.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.