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Finding the Fourth Proportional to 51,773.94, 71,362 and 36,647.20

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Solution

The fourth proportional to 51,773.94, 71,362 and 36,647.20 is: 50,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.94 : 71,362 = 36,647.20 : x
  2. Step 2: Convert to fraction form
    51,773.94/71,362 = 36,647.20/x
  3. Step 3: Cross multiply
    51,773.94x = 71,362 × 36,647.20
  4. Step 4: Simplify right side
    51,773.94x = 2,615,217,486.40
  5. Step 5: Solve for x
    x = 2,615,217,486.40/51,773.94
  6. Step 6: Final answer
    x = 50,512.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.