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Finding the Fourth Proportional to 31,385.84, 47,078.74 and 8,012.27

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Solution

The fourth proportional to 31,385.84, 47,078.74 and 8,012.27 is: 12,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.84 : 47,078.74 = 8,012.27 : x
  2. Step 2: Convert to fraction form
    31,385.84/47,078.74 = 8,012.27/x
  3. Step 3: Cross multiply
    31,385.84x = 47,078.74 × 8,012.27
  4. Step 4: Simplify right side
    31,385.84x = 377,207,300.68
  5. Step 5: Solve for x
    x = 377,207,300.68/31,385.84
  6. Step 6: Final answer
    x = 12,018.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.