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Finding the Fourth Proportional to 38,128.32, 52,620 and 23,993.28

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Solution

The fourth proportional to 38,128.32, 52,620 and 23,993.28 is: 33,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,128.32 : 52,620 = 23,993.28 : x
  2. Step 2: Convert to fraction form
    38,128.32/52,620 = 23,993.28/x
  3. Step 3: Cross multiply
    38,128.32x = 52,620 × 23,993.28
  4. Step 4: Simplify right side
    38,128.32x = 1,262,526,393.60
  5. Step 5: Solve for x
    x = 1,262,526,393.60/38,128.32
  6. Step 6: Final answer
    x = 33,112.56

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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.