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Finding the Fourth Proportional to 30,649.57, 45,974.27 and 8,160.25

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Solution

The fourth proportional to 30,649.57, 45,974.27 and 8,160.25 is: 12,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.57 : 45,974.27 = 8,160.25 : x
  2. Step 2: Convert to fraction form
    30,649.57/45,974.27 = 8,160.25/x
  3. Step 3: Cross multiply
    30,649.57x = 45,974.27 × 8,160.25
  4. Step 4: Simplify right side
    30,649.57x = 375,161,266.09
  5. Step 5: Solve for x
    x = 375,161,266.09/30,649.57
  6. Step 6: Final answer
    x = 12,240.35

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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.