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Finding the Fourth Proportional to 58,902.56, 81,286.32 and 33,752

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Solution

The fourth proportional to 58,902.56, 81,286.32 and 33,752 is: 46,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,902.56 : 81,286.32 = 33,752 : x
  2. Step 2: Convert to fraction form
    58,902.56/81,286.32 = 33,752/x
  3. Step 3: Cross multiply
    58,902.56x = 81,286.32 × 33,752
  4. Step 4: Simplify right side
    58,902.56x = 2,743,575,872.64
  5. Step 5: Solve for x
    x = 2,743,575,872.64/58,902.56
  6. Step 6: Final answer
    x = 46,578.21

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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.