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Finding the Fourth Proportional to 30,941.67, 46,415.85 and 9,874.33

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Solution

The fourth proportional to 30,941.67, 46,415.85 and 9,874.33 is: 14,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.67 : 46,415.85 = 9,874.33 : x
  2. Step 2: Convert to fraction form
    30,941.67/46,415.85 = 9,874.33/x
  3. Step 3: Cross multiply
    30,941.67x = 46,415.85 × 9,874.33
  4. Step 4: Simplify right side
    30,941.67x = 458,325,420.13
  5. Step 5: Solve for x
    x = 458,325,420.13/30,941.67
  6. Step 6: Final answer
    x = 14,812.56

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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.