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Finding the Fourth Proportional to 50,334.75, 69,462 and 27,978.75

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Solution

The fourth proportional to 50,334.75, 69,462 and 27,978.75 is: 38,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,334.75 : 69,462 = 27,978.75 : x
  2. Step 2: Convert to fraction form
    50,334.75/69,462 = 27,978.75/x
  3. Step 3: Cross multiply
    50,334.75x = 69,462 × 27,978.75
  4. Step 4: Simplify right side
    50,334.75x = 1,943,459,932.50
  5. Step 5: Solve for x
    x = 1,943,459,932.50/50,334.75
  6. Step 6: Final answer
    x = 38,610.70

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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.