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Finding the Fourth Proportional to 50,949.60, 76,422.56 and 13,510

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Solution

The fourth proportional to 50,949.60, 76,422.56 and 13,510 is: 20,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,949.60 : 76,422.56 = 13,510 : x
  2. Step 2: Convert to fraction form
    50,949.60/76,422.56 = 13,510/x
  3. Step 3: Cross multiply
    50,949.60x = 76,422.56 × 13,510
  4. Step 4: Simplify right side
    50,949.60x = 1,032,468,785.60
  5. Step 5: Solve for x
    x = 1,032,468,785.60/50,949.60
  6. Step 6: Final answer
    x = 20,264.51

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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.