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Finding the Fourth Proportional to 31,684.39, 47,537.11 and 10,626.50

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Solution

The fourth proportional to 31,684.39, 47,537.11 and 10,626.50 is: 15,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.39 : 47,537.11 = 10,626.50 : x
  2. Step 2: Convert to fraction form
    31,684.39/47,537.11 = 10,626.50/x
  3. Step 3: Cross multiply
    31,684.39x = 47,537.11 × 10,626.50
  4. Step 4: Simplify right side
    31,684.39x = 505,153,099.42
  5. Step 5: Solve for x
    x = 505,153,099.42/31,684.39
  6. Step 6: Final answer
    x = 15,943.28

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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.