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Finding the Fourth Proportional to 35,136.69, 48,483 and 20,029.38

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Solution

The fourth proportional to 35,136.69, 48,483 and 20,029.38 is: 27,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,136.69 : 48,483 = 20,029.38 : x
  2. Step 2: Convert to fraction form
    35,136.69/48,483 = 20,029.38/x
  3. Step 3: Cross multiply
    35,136.69x = 48,483 × 20,029.38
  4. Step 4: Simplify right side
    35,136.69x = 971,084,430.54
  5. Step 5: Solve for x
    x = 971,084,430.54/35,136.69
  6. Step 6: Final answer
    x = 27,637.33

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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.