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Finding the Fourth Proportional to 38,004.31, 57,006.60 and 22,411

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Solution

The fourth proportional to 38,004.31, 57,006.60 and 22,411 is: 33,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.31 : 57,006.60 = 22,411 : x
  2. Step 2: Convert to fraction form
    38,004.31/57,006.60 = 22,411/x
  3. Step 3: Cross multiply
    38,004.31x = 57,006.60 × 22,411
  4. Step 4: Simplify right side
    38,004.31x = 1,277,574,912.60
  5. Step 5: Solve for x
    x = 1,277,574,912.60/38,004.31
  6. Step 6: Final answer
    x = 33,616.58

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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.