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Finding the Fourth Proportional to 38,600.88, 53,180.28 and 29,638.32

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Solution

The fourth proportional to 38,600.88, 53,180.28 and 29,638.32 is: 40,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,600.88 : 53,180.28 = 29,638.32 : x
  2. Step 2: Convert to fraction form
    38,600.88/53,180.28 = 29,638.32/x
  3. Step 3: Cross multiply
    38,600.88x = 53,180.28 × 29,638.32
  4. Step 4: Simplify right side
    38,600.88x = 1,576,174,156.33
  5. Step 5: Solve for x
    x = 1,576,174,156.33/38,600.88
  6. Step 6: Final answer
    x = 40,832.60

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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.