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Finding the Fourth Proportional to 30,858.84, 46,260.54 and 11,132.78

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Solution

The fourth proportional to 30,858.84, 46,260.54 and 11,132.78 is: 16,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.84 : 46,260.54 = 11,132.78 : x
  2. Step 2: Convert to fraction form
    30,858.84/46,260.54 = 11,132.78/x
  3. Step 3: Cross multiply
    30,858.84x = 46,260.54 × 11,132.78
  4. Step 4: Simplify right side
    30,858.84x = 515,008,183.20
  5. Step 5: Solve for x
    x = 515,008,183.20/30,858.84
  6. Step 6: Final answer
    x = 16,689.16

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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.