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Finding the Fourth Proportional to 31,804.98, 47,700.99 and 12,076.62

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Solution

The fourth proportional to 31,804.98, 47,700.99 and 12,076.62 is: 18,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.98 : 47,700.99 = 12,076.62 : x
  2. Step 2: Convert to fraction form
    31,804.98/47,700.99 = 12,076.62/x
  3. Step 3: Cross multiply
    31,804.98x = 47,700.99 × 12,076.62
  4. Step 4: Simplify right side
    31,804.98x = 576,066,729.85
  5. Step 5: Solve for x
    x = 576,066,729.85/31,804.98
  6. Step 6: Final answer
    x = 18,112.47

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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.