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Finding the Fourth Proportional to 35,083, 48,414.54 and 20,179

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Solution

The fourth proportional to 35,083, 48,414.54 and 20,179 is: 27,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083 : 48,414.54 = 20,179 : x
  2. Step 2: Convert to fraction form
    35,083/48,414.54 = 20,179/x
  3. Step 3: Cross multiply
    35,083x = 48,414.54 × 20,179
  4. Step 4: Simplify right side
    35,083x = 976,957,002.66
  5. Step 5: Solve for x
    x = 976,957,002.66/35,083
  6. Step 6: Final answer
    x = 27,847.02

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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.