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Finding the Fourth Proportional to 30,826, 46,259.20 and 19,147.44

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Solution

The fourth proportional to 30,826, 46,259.20 and 19,147.44 is: 28,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826 : 46,259.20 = 19,147.44 : x
  2. Step 2: Convert to fraction form
    30,826/46,259.20 = 19,147.44/x
  3. Step 3: Cross multiply
    30,826x = 46,259.20 × 19,147.44
  4. Step 4: Simplify right side
    30,826x = 885,745,256.45
  5. Step 5: Solve for x
    x = 885,745,256.45/30,826
  6. Step 6: Final answer
    x = 28,733.71

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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.