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Finding the Fourth Proportional to 30,057.93, 45,074.60 and 13,406.57

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Solution

The fourth proportional to 30,057.93, 45,074.60 and 13,406.57 is: 20,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057.93 : 45,074.60 = 13,406.57 : x
  2. Step 2: Convert to fraction form
    30,057.93/45,074.60 = 13,406.57/x
  3. Step 3: Cross multiply
    30,057.93x = 45,074.60 × 13,406.57
  4. Step 4: Simplify right side
    30,057.93x = 604,295,487.72
  5. Step 5: Solve for x
    x = 604,295,487.72/30,057.93
  6. Step 6: Final answer
    x = 20,104.36

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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.