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Finding the Fourth Proportional to 50,002.56, 74,966.48 and 30,276.32

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Solution

The fourth proportional to 50,002.56, 74,966.48 and 30,276.32 is: 45,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,002.56 : 74,966.48 = 30,276.32 : x
  2. Step 2: Convert to fraction form
    50,002.56/74,966.48 = 30,276.32/x
  3. Step 3: Cross multiply
    50,002.56x = 74,966.48 × 30,276.32
  4. Step 4: Simplify right side
    50,002.56x = 2,269,709,137.75
  5. Step 5: Solve for x
    x = 2,269,709,137.75/50,002.56
  6. Step 6: Final answer
    x = 45,391.86

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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.