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Finding the Fourth Proportional to 38,099.76, 52,577.82 and 22,195.14

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Solution

The fourth proportional to 38,099.76, 52,577.82 and 22,195.14 is: 30,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099.76 : 52,577.82 = 22,195.14 : x
  2. Step 2: Convert to fraction form
    38,099.76/52,577.82 = 22,195.14/x
  3. Step 3: Cross multiply
    38,099.76x = 52,577.82 × 22,195.14
  4. Step 4: Simplify right side
    38,099.76x = 1,166,972,075.79
  5. Step 5: Solve for x
    x = 1,166,972,075.79/38,099.76
  6. Step 6: Final answer
    x = 30,629.38

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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.