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Finding the Fourth Proportional to 31,674.41, 47,462.34 and 11,942.18

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Solution

The fourth proportional to 31,674.41, 47,462.34 and 11,942.18 is: 17,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.41 : 47,462.34 = 11,942.18 : x
  2. Step 2: Convert to fraction form
    31,674.41/47,462.34 = 11,942.18/x
  3. Step 3: Cross multiply
    31,674.41x = 47,462.34 × 11,942.18
  4. Step 4: Simplify right side
    31,674.41x = 566,803,807.50
  5. Step 5: Solve for x
    x = 566,803,807.50/31,674.41
  6. Step 6: Final answer
    x = 17,894.69

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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.