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Finding the Fourth Proportional to 30,257.54, 41,750.33 and 16,827

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Solution

The fourth proportional to 30,257.54, 41,750.33 and 16,827 is: 23,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.54 : 41,750.33 = 16,827 : x
  2. Step 2: Convert to fraction form
    30,257.54/41,750.33 = 16,827/x
  3. Step 3: Cross multiply
    30,257.54x = 41,750.33 × 16,827
  4. Step 4: Simplify right side
    30,257.54x = 702,532,718.78
  5. Step 5: Solve for x
    x = 702,532,718.78/30,257.54
  6. Step 6: Final answer
    x = 23,218.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.