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Finding the Fourth Proportional to 30,255.46, 41,751.81 and 16,457.44

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Solution

The fourth proportional to 30,255.46, 41,751.81 and 16,457.44 is: 22,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,255.46 : 41,751.81 = 16,457.44 : x
  2. Step 2: Convert to fraction form
    30,255.46/41,751.81 = 16,457.44/x
  3. Step 3: Cross multiply
    30,255.46x = 41,751.81 × 16,457.44
  4. Step 4: Simplify right side
    30,255.46x = 687,127,907.97
  5. Step 5: Solve for x
    x = 687,127,907.97/30,255.46
  6. Step 6: Final answer
    x = 22,710.87

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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.