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Finding the Fourth Proportional to 31,411.01, 47,109.22 and 9,218.43

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Solution

The fourth proportional to 31,411.01, 47,109.22 and 9,218.43 is: 13,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.01 : 47,109.22 = 9,218.43 : x
  2. Step 2: Convert to fraction form
    31,411.01/47,109.22 = 9,218.43/x
  3. Step 3: Cross multiply
    31,411.01x = 47,109.22 × 9,218.43
  4. Step 4: Simplify right side
    31,411.01x = 434,273,046.92
  5. Step 5: Solve for x
    x = 434,273,046.92/31,411.01
  6. Step 6: Final answer
    x = 13,825.50

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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.