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Finding the Fourth Proportional to 30,027.54, 41,438.00 and 16,415.63

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Solution

The fourth proportional to 30,027.54, 41,438.00 and 16,415.63 is: 22,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,027.54 : 41,438.00 = 16,415.63 : x
  2. Step 2: Convert to fraction form
    30,027.54/41,438.00 = 16,415.63/x
  3. Step 3: Cross multiply
    30,027.54x = 41,438.00 × 16,415.63
  4. Step 4: Simplify right side
    30,027.54x = 680,231,020.57
  5. Step 5: Solve for x
    x = 680,231,020.57/30,027.54
  6. Step 6: Final answer
    x = 22,653.57

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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.