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Finding the Fourth Proportional to 50,099.64, 75,147.12 and 20,510.16

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Solution

The fourth proportional to 50,099.64, 75,147.12 and 20,510.16 is: 30,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,099.64 : 75,147.12 = 20,510.16 : x
  2. Step 2: Convert to fraction form
    50,099.64/75,147.12 = 20,510.16/x
  3. Step 3: Cross multiply
    50,099.64x = 75,147.12 × 20,510.16
  4. Step 4: Simplify right side
    50,099.64x = 1,541,279,454.74
  5. Step 5: Solve for x
    x = 1,541,279,454.74/50,099.64
  6. Step 6: Final answer
    x = 30,764.28

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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.