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Finding the Fourth Proportional to 68,093.17, 102,118.98 and 54,734.47

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Solution

The fourth proportional to 68,093.17, 102,118.98 and 54,734.47 is: 82,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,093.17 : 102,118.98 = 54,734.47 : x
  2. Step 2: Convert to fraction form
    68,093.17/102,118.98 = 54,734.47/x
  3. Step 3: Cross multiply
    68,093.17x = 102,118.98 × 54,734.47
  4. Step 4: Simplify right side
    68,093.17x = 5,589,428,247.24
  5. Step 5: Solve for x
    x = 5,589,428,247.24/68,093.17
  6. Step 6: Final answer
    x = 82,085.01

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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.