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Finding the Fourth Proportional to 30,206.31, 41,685.47 and 16,777.45

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Solution

The fourth proportional to 30,206.31, 41,685.47 and 16,777.45 is: 23,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.31 : 41,685.47 = 16,777.45 : x
  2. Step 2: Convert to fraction form
    30,206.31/41,685.47 = 16,777.45/x
  3. Step 3: Cross multiply
    30,206.31x = 41,685.47 × 16,777.45
  4. Step 4: Simplify right side
    30,206.31x = 699,375,888.65
  5. Step 5: Solve for x
    x = 699,375,888.65/30,206.31
  6. Step 6: Final answer
    x = 23,153.30

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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.