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Finding the Fourth Proportional to 38,102.88, 52,583.83 and 22,995.27

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Solution

The fourth proportional to 38,102.88, 52,583.83 and 22,995.27 is: 31,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.88 : 52,583.83 = 22,995.27 : x
  2. Step 2: Convert to fraction form
    38,102.88/52,583.83 = 22,995.27/x
  3. Step 3: Cross multiply
    38,102.88x = 52,583.83 × 22,995.27
  4. Step 4: Simplify right side
    38,102.88x = 1,209,179,292.45
  5. Step 5: Solve for x
    x = 1,209,179,292.45/38,102.88
  6. Step 6: Final answer
    x = 31,734.59

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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.