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Finding the Fourth Proportional to 35,346.78, 48,781.44 and 20,244.33

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Solution

The fourth proportional to 35,346.78, 48,781.44 and 20,244.33 is: 27,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,346.78 : 48,781.44 = 20,244.33 : x
  2. Step 2: Convert to fraction form
    35,346.78/48,781.44 = 20,244.33/x
  3. Step 3: Cross multiply
    35,346.78x = 48,781.44 × 20,244.33
  4. Step 4: Simplify right side
    35,346.78x = 987,547,569.24
  5. Step 5: Solve for x
    x = 987,547,569.24/35,346.78
  6. Step 6: Final answer
    x = 27,938.83

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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.