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Finding the Fourth Proportional to 30,201.69, 45,299.84 and 13,557.27

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Solution

The fourth proportional to 30,201.69, 45,299.84 and 13,557.27 is: 20,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.69 : 45,299.84 = 13,557.27 : x
  2. Step 2: Convert to fraction form
    30,201.69/45,299.84 = 13,557.27/x
  3. Step 3: Cross multiply
    30,201.69x = 45,299.84 × 13,557.27
  4. Step 4: Simplify right side
    30,201.69x = 614,142,094.05
  5. Step 5: Solve for x
    x = 614,142,094.05/30,201.69
  6. Step 6: Final answer
    x = 20,334.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.