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Finding the Fourth Proportional to 50,252, 75,378 and 20,685.92

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Solution

The fourth proportional to 50,252, 75,378 and 20,685.92 is: 31,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,252 : 75,378 = 20,685.92 : x
  2. Step 2: Convert to fraction form
    50,252/75,378 = 20,685.92/x
  3. Step 3: Cross multiply
    50,252x = 75,378 × 20,685.92
  4. Step 4: Simplify right side
    50,252x = 1,559,263,277.76
  5. Step 5: Solve for x
    x = 1,559,263,277.76/50,252
  6. Step 6: Final answer
    x = 31,028.88

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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.