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Finding the Fourth Proportional to 51,027, 76,470.03 and 28,549.50

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Solution

The fourth proportional to 51,027, 76,470.03 and 28,549.50 is: 42,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,027 : 76,470.03 = 28,549.50 : x
  2. Step 2: Convert to fraction form
    51,027/76,470.03 = 28,549.50/x
  3. Step 3: Cross multiply
    51,027x = 76,470.03 × 28,549.50
  4. Step 4: Simplify right side
    51,027x = 2,183,181,121.49
  5. Step 5: Solve for x
    x = 2,183,181,121.49/51,027
  6. Step 6: Final answer
    x = 42,784.82

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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.