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Finding the Fourth Proportional to 50,270.69, 75,406.01 and 12,830.77

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Solution

The fourth proportional to 50,270.69, 75,406.01 and 12,830.77 is: 19,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,270.69 : 75,406.01 = 12,830.77 : x
  2. Step 2: Convert to fraction form
    50,270.69/75,406.01 = 12,830.77/x
  3. Step 3: Cross multiply
    50,270.69x = 75,406.01 × 12,830.77
  4. Step 4: Simplify right side
    50,270.69x = 967,517,201.03
  5. Step 5: Solve for x
    x = 967,517,201.03/50,270.69
  6. Step 6: Final answer
    x = 19,246.15

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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.