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Finding the Fourth Proportional to 30,845.82, 46,259.16 and 11,121.82

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Solution

The fourth proportional to 30,845.82, 46,259.16 and 11,121.82 is: 16,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.82 : 46,259.16 = 11,121.82 : x
  2. Step 2: Convert to fraction form
    30,845.82/46,259.16 = 11,121.82/x
  3. Step 3: Cross multiply
    30,845.82x = 46,259.16 × 11,121.82
  4. Step 4: Simplify right side
    30,845.82x = 514,486,050.87
  5. Step 5: Solve for x
    x = 514,486,050.87/30,845.82
  6. Step 6: Final answer
    x = 16,679.28

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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.