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Finding the Fourth Proportional to 31,408.50, 47,112.36 and 9,221.08

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Solution

The fourth proportional to 31,408.50, 47,112.36 and 9,221.08 is: 13,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.50 : 47,112.36 = 9,221.08 : x
  2. Step 2: Convert to fraction form
    31,408.50/47,112.36 = 9,221.08/x
  3. Step 3: Cross multiply
    31,408.50x = 47,112.36 × 9,221.08
  4. Step 4: Simplify right side
    31,408.50x = 434,426,828.39
  5. Step 5: Solve for x
    x = 434,426,828.39/31,408.50
  6. Step 6: Final answer
    x = 13,831.51

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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.