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Finding the Fourth Proportional to 30,208.71, 41,685.74 and 16,778.82

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Solution

The fourth proportional to 30,208.71, 41,685.74 and 16,778.82 is: 23,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.71 : 41,685.74 = 16,778.82 : x
  2. Step 2: Convert to fraction form
    30,208.71/41,685.74 = 16,778.82/x
  3. Step 3: Cross multiply
    30,208.71x = 41,685.74 × 16,778.82
  4. Step 4: Simplify right side
    30,208.71x = 699,437,444.13
  5. Step 5: Solve for x
    x = 699,437,444.13/30,208.71
  6. Step 6: Final answer
    x = 23,153.50

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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.