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Finding the Fourth Proportional to 38,638.22, 53,320.02 and 21,642.26

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Solution

The fourth proportional to 38,638.22, 53,320.02 and 21,642.26 is: 29,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638.22 : 53,320.02 = 21,642.26 : x
  2. Step 2: Convert to fraction form
    38,638.22/53,320.02 = 21,642.26/x
  3. Step 3: Cross multiply
    38,638.22x = 53,320.02 × 21,642.26
  4. Step 4: Simplify right side
    38,638.22x = 1,153,965,736.05
  5. Step 5: Solve for x
    x = 1,153,965,736.05/38,638.22
  6. Step 6: Final answer
    x = 29,865.91

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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.