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Finding the Fourth Proportional to 30,208.49, 41,686.37 and 16,780.67

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Solution

The fourth proportional to 30,208.49, 41,686.37 and 16,780.67 is: 23,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.49 : 41,686.37 = 16,780.67 : x
  2. Step 2: Convert to fraction form
    30,208.49/41,686.37 = 16,780.67/x
  3. Step 3: Cross multiply
    30,208.49x = 41,686.37 × 16,780.67
  4. Step 4: Simplify right side
    30,208.49x = 699,525,134.56
  5. Step 5: Solve for x
    x = 699,525,134.56/30,208.49
  6. Step 6: Final answer
    x = 23,156.57

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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.