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Finding the Fourth Proportional to 50,422.95, 75,634.47 and 12,983.10

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Solution

The fourth proportional to 50,422.95, 75,634.47 and 12,983.10 is: 19,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,422.95 : 75,634.47 = 12,983.10 : x
  2. Step 2: Convert to fraction form
    50,422.95/75,634.47 = 12,983.10/x
  3. Step 3: Cross multiply
    50,422.95x = 75,634.47 × 12,983.10
  4. Step 4: Simplify right side
    50,422.95x = 981,969,887.46
  5. Step 5: Solve for x
    x = 981,969,887.46/50,422.95
  6. Step 6: Final answer
    x = 19,474.66

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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.