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Finding the Fourth Proportional to 69,858.45, 96,405.12 and 38,027.75

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Solution

The fourth proportional to 69,858.45, 96,405.12 and 38,027.75 is: 52,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,858.45 : 96,405.12 = 38,027.75 : x
  2. Step 2: Convert to fraction form
    69,858.45/96,405.12 = 38,027.75/x
  3. Step 3: Cross multiply
    69,858.45x = 96,405.12 × 38,027.75
  4. Step 4: Simplify right side
    69,858.45x = 3,666,069,320.05
  5. Step 5: Solve for x
    x = 3,666,069,320.05/69,858.45
  6. Step 6: Final answer
    x = 52,478.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.