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Finding the Fourth Proportional to 50,907.81, 76,361.97 and 20,938.40

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Solution

The fourth proportional to 50,907.81, 76,361.97 and 20,938.40 is: 31,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,907.81 : 76,361.97 = 20,938.40 : x
  2. Step 2: Convert to fraction form
    50,907.81/76,361.97 = 20,938.40/x
  3. Step 3: Cross multiply
    50,907.81x = 76,361.97 × 20,938.40
  4. Step 4: Simplify right side
    50,907.81x = 1,598,897,143.18
  5. Step 5: Solve for x
    x = 1,598,897,143.18/50,907.81
  6. Step 6: Final answer
    x = 31,407.70

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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.