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Finding the Fourth Proportional to 31,007.40, 46,512.90 and 8,822.40

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Solution

The fourth proportional to 31,007.40, 46,512.90 and 8,822.40 is: 13,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.40 : 46,512.90 = 8,822.40 : x
  2. Step 2: Convert to fraction form
    31,007.40/46,512.90 = 8,822.40/x
  3. Step 3: Cross multiply
    31,007.40x = 46,512.90 × 8,822.40
  4. Step 4: Simplify right side
    31,007.40x = 410,355,408.96
  5. Step 5: Solve for x
    x = 410,355,408.96/31,007.40
  6. Step 6: Final answer
    x = 13,234.11

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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.