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Finding the Fourth Proportional to 51,201.60, 76,724.48 and 37,992

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Solution

The fourth proportional to 51,201.60, 76,724.48 and 37,992 is: 56,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201.60 : 76,724.48 = 37,992 : x
  2. Step 2: Convert to fraction form
    51,201.60/76,724.48 = 37,992/x
  3. Step 3: Cross multiply
    51,201.60x = 76,724.48 × 37,992
  4. Step 4: Simplify right side
    51,201.60x = 2,914,916,444.16
  5. Step 5: Solve for x
    x = 2,914,916,444.16/51,201.60
  6. Step 6: Final answer
    x = 56,930.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.