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Finding the Fourth Proportional to 30,844.50, 46,167.42 and 20,323.26

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Solution

The fourth proportional to 30,844.50, 46,167.42 and 20,323.26 is: 30,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.50 : 46,167.42 = 20,323.26 : x
  2. Step 2: Convert to fraction form
    30,844.50/46,167.42 = 20,323.26/x
  3. Step 3: Cross multiply
    30,844.50x = 46,167.42 × 20,323.26
  4. Step 4: Simplify right side
    30,844.50x = 938,272,480.19
  5. Step 5: Solve for x
    x = 938,272,480.19/30,844.50
  6. Step 6: Final answer
    x = 30,419.44

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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.