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Finding the Fourth Proportional to 50,265.52, 75,369.57 and 20,659

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Solution

The fourth proportional to 50,265.52, 75,369.57 and 20,659 is: 30,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,265.52 : 75,369.57 = 20,659 : x
  2. Step 2: Convert to fraction form
    50,265.52/75,369.57 = 20,659/x
  3. Step 3: Cross multiply
    50,265.52x = 75,369.57 × 20,659
  4. Step 4: Simplify right side
    50,265.52x = 1,557,059,946.63
  5. Step 5: Solve for x
    x = 1,557,059,946.63/50,265.52
  6. Step 6: Final answer
    x = 30,976.70

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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.