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Finding the Fourth Proportional to 34,024.80, 46,946.94 and 20,593.38

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Solution

The fourth proportional to 34,024.80, 46,946.94 and 20,593.38 is: 28,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024.80 : 46,946.94 = 20,593.38 : x
  2. Step 2: Convert to fraction form
    34,024.80/46,946.94 = 20,593.38/x
  3. Step 3: Cross multiply
    34,024.80x = 46,946.94 × 20,593.38
  4. Step 4: Simplify right side
    34,024.80x = 966,796,175.26
  5. Step 5: Solve for x
    x = 966,796,175.26/34,024.80
  6. Step 6: Final answer
    x = 28,414.46

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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.