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Finding the Fourth Proportional to 68,065.95, 102,099.86 and 25,948.28

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Solution

The fourth proportional to 68,065.95, 102,099.86 and 25,948.28 is: 38,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065.95 : 102,099.86 = 25,948.28 : x
  2. Step 2: Convert to fraction form
    68,065.95/102,099.86 = 25,948.28/x
  3. Step 3: Cross multiply
    68,065.95x = 102,099.86 × 25,948.28
  4. Step 4: Simplify right side
    68,065.95x = 2,649,315,978.06
  5. Step 5: Solve for x
    x = 2,649,315,978.06/68,065.95
  6. Step 6: Final answer
    x = 38,922.78

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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.