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Finding the Fourth Proportional to 68,114.58, 102,120.98 and 46,994.36

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Solution

The fourth proportional to 68,114.58, 102,120.98 and 46,994.36 is: 70,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.58 : 102,120.98 = 46,994.36 : x
  2. Step 2: Convert to fraction form
    68,114.58/102,120.98 = 46,994.36/x
  3. Step 3: Cross multiply
    68,114.58x = 102,120.98 × 46,994.36
  4. Step 4: Simplify right side
    68,114.58x = 4,799,109,735.05
  5. Step 5: Solve for x
    x = 4,799,109,735.05/68,114.58
  6. Step 6: Final answer
    x = 70,456.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.