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Finding the Fourth Proportional to 31,851.50, 47,777.26 and 11,075

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Solution

The fourth proportional to 31,851.50, 47,777.26 and 11,075 is: 16,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.50 : 47,777.26 = 11,075 : x
  2. Step 2: Convert to fraction form
    31,851.50/47,777.26 = 11,075/x
  3. Step 3: Cross multiply
    31,851.50x = 47,777.26 × 11,075
  4. Step 4: Simplify right side
    31,851.50x = 529,133,154.50
  5. Step 5: Solve for x
    x = 529,133,154.50/31,851.50
  6. Step 6: Final answer
    x = 16,612.50

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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.