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Finding the Fourth Proportional to 83,892, 115,771.35 and 48,084.12

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Solution

The fourth proportional to 83,892, 115,771.35 and 48,084.12 is: 66,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,892 : 115,771.35 = 48,084.12 : x
  2. Step 2: Convert to fraction form
    83,892/115,771.35 = 48,084.12/x
  3. Step 3: Cross multiply
    83,892x = 115,771.35 × 48,084.12
  4. Step 4: Simplify right side
    83,892x = 5,566,763,485.96
  5. Step 5: Solve for x
    x = 5,566,763,485.96/83,892
  6. Step 6: Final answer
    x = 66,356.31

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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.