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Finding the Fourth Proportional to 51,661.78, 77,485.31 and 16,596.90

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Solution

The fourth proportional to 51,661.78, 77,485.31 and 16,596.90 is: 24,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,661.78 : 77,485.31 = 16,596.90 : x
  2. Step 2: Convert to fraction form
    51,661.78/77,485.31 = 16,596.90/x
  3. Step 3: Cross multiply
    51,661.78x = 77,485.31 × 16,596.90
  4. Step 4: Simplify right side
    51,661.78x = 1,286,015,941.54
  5. Step 5: Solve for x
    x = 1,286,015,941.54/51,661.78
  6. Step 6: Final answer
    x = 24,892.99

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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.