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Finding the Fourth Proportional to 50,023.12, 74,969.06 and 27,825.08

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Solution

The fourth proportional to 50,023.12, 74,969.06 and 27,825.08 is: 41,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,023.12 : 74,969.06 = 27,825.08 : x
  2. Step 2: Convert to fraction form
    50,023.12/74,969.06 = 27,825.08/x
  3. Step 3: Cross multiply
    50,023.12x = 74,969.06 × 27,825.08
  4. Step 4: Simplify right side
    50,023.12x = 2,086,020,092.02
  5. Step 5: Solve for x
    x = 2,086,020,092.02/50,023.12
  6. Step 6: Final answer
    x = 41,701.12

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