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Finding the Fourth Proportional to 68,705.86, 94,814.14 and 41,848.42

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Solution

The fourth proportional to 68,705.86, 94,814.14 and 41,848.42 is: 57,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,705.86 : 94,814.14 = 41,848.42 : x
  2. Step 2: Convert to fraction form
    68,705.86/94,814.14 = 41,848.42/x
  3. Step 3: Cross multiply
    68,705.86x = 94,814.14 × 41,848.42
  4. Step 4: Simplify right side
    68,705.86x = 3,967,821,504.49
  5. Step 5: Solve for x
    x = 3,967,821,504.49/68,705.86
  6. Step 6: Final answer
    x = 57,750.85

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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.