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Finding the Fourth Proportional to 31,446.50, 47,169.78 and 8,072.93

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Solution

The fourth proportional to 31,446.50, 47,169.78 and 8,072.93 is: 12,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446.50 : 47,169.78 = 8,072.93 : x
  2. Step 2: Convert to fraction form
    31,446.50/47,169.78 = 8,072.93/x
  3. Step 3: Cross multiply
    31,446.50x = 47,169.78 × 8,072.93
  4. Step 4: Simplify right side
    31,446.50x = 380,798,419.71
  5. Step 5: Solve for x
    x = 380,798,419.71/31,446.50
  6. Step 6: Final answer
    x = 12,109.41

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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.