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Finding the Fourth Proportional to 30,841.24, 46,264.20 and 12,112.24

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Solution

The fourth proportional to 30,841.24, 46,264.20 and 12,112.24 is: 18,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.24 : 46,264.20 = 12,112.24 : x
  2. Step 2: Convert to fraction form
    30,841.24/46,264.20 = 12,112.24/x
  3. Step 3: Cross multiply
    30,841.24x = 46,264.20 × 12,112.24
  4. Step 4: Simplify right side
    30,841.24x = 560,363,093.81
  5. Step 5: Solve for x
    x = 560,363,093.81/30,841.24
  6. Step 6: Final answer
    x = 18,169.28

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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.