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Finding the Fourth Proportional to 30,907.78, 46,366.30 and 11,190.96

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Solution

The fourth proportional to 30,907.78, 46,366.30 and 11,190.96 is: 16,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.78 : 46,366.30 = 11,190.96 : x
  2. Step 2: Convert to fraction form
    30,907.78/46,366.30 = 11,190.96/x
  3. Step 3: Cross multiply
    30,907.78x = 46,366.30 × 11,190.96
  4. Step 4: Simplify right side
    30,907.78x = 518,883,408.65
  5. Step 5: Solve for x
    x = 518,883,408.65/30,907.78
  6. Step 6: Final answer
    x = 16,788.12

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