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Finding the Fourth Proportional to 30,787.83, 46,181.76 and 7,414.26

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Solution

The fourth proportional to 30,787.83, 46,181.76 and 7,414.26 is: 11,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.83 : 46,181.76 = 7,414.26 : x
  2. Step 2: Convert to fraction form
    30,787.83/46,181.76 = 7,414.26/x
  3. Step 3: Cross multiply
    30,787.83x = 46,181.76 × 7,414.26
  4. Step 4: Simplify right side
    30,787.83x = 342,403,575.90
  5. Step 5: Solve for x
    x = 342,403,575.90/30,787.83
  6. Step 6: Final answer
    x = 11,121.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.