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Finding the Fourth Proportional to 30,891.18, 46,323 and 9,827.28

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Solution

The fourth proportional to 30,891.18, 46,323 and 9,827.28 is: 14,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.18 : 46,323 = 9,827.28 : x
  2. Step 2: Convert to fraction form
    30,891.18/46,323 = 9,827.28/x
  3. Step 3: Cross multiply
    30,891.18x = 46,323 × 9,827.28
  4. Step 4: Simplify right side
    30,891.18x = 455,229,091.44
  5. Step 5: Solve for x
    x = 455,229,091.44/30,891.18
  6. Step 6: Final answer
    x = 14,736.54

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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.