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Finding the Fourth Proportional to 34,683.80, 47,884.23 and 22,768.02

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Solution

The fourth proportional to 34,683.80, 47,884.23 and 22,768.02 is: 31,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,683.80 : 47,884.23 = 22,768.02 : x
  2. Step 2: Convert to fraction form
    34,683.80/47,884.23 = 22,768.02/x
  3. Step 3: Cross multiply
    34,683.80x = 47,884.23 × 22,768.02
  4. Step 4: Simplify right side
    34,683.80x = 1,090,229,106.32
  5. Step 5: Solve for x
    x = 1,090,229,106.32/34,683.80
  6. Step 6: Final answer
    x = 31,433.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.