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Finding the Fourth Proportional to 38,150.40, 52,648.92 and 22,232.28

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Solution

The fourth proportional to 38,150.40, 52,648.92 and 22,232.28 is: 30,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,150.40 : 52,648.92 = 22,232.28 : x
  2. Step 2: Convert to fraction form
    38,150.40/52,648.92 = 22,232.28/x
  3. Step 3: Cross multiply
    38,150.40x = 52,648.92 × 22,232.28
  4. Step 4: Simplify right side
    38,150.40x = 1,170,505,531.14
  5. Step 5: Solve for x
    x = 1,170,505,531.14/38,150.40
  6. Step 6: Final answer
    x = 30,681.34

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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.