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Finding the Fourth Proportional to 50,442.94, 75,686.01 and 20,882.26

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Solution

The fourth proportional to 50,442.94, 75,686.01 and 20,882.26 is: 31,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,442.94 : 75,686.01 = 20,882.26 : x
  2. Step 2: Convert to fraction form
    50,442.94/75,686.01 = 20,882.26/x
  3. Step 3: Cross multiply
    50,442.94x = 75,686.01 × 20,882.26
  4. Step 4: Simplify right side
    50,442.94x = 1,580,494,939.18
  5. Step 5: Solve for x
    x = 1,580,494,939.18/50,442.94
  6. Step 6: Final answer
    x = 31,332.33

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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.