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Finding the Fourth Proportional to 30,111.70, 45,149.31 and 13,468.63

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Solution

The fourth proportional to 30,111.70, 45,149.31 and 13,468.63 is: 20,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,111.70 : 45,149.31 = 13,468.63 : x
  2. Step 2: Convert to fraction form
    30,111.70/45,149.31 = 13,468.63/x
  3. Step 3: Cross multiply
    30,111.70x = 45,149.31 × 13,468.63
  4. Step 4: Simplify right side
    30,111.70x = 608,099,351.15
  5. Step 5: Solve for x
    x = 608,099,351.15/30,111.70
  6. Step 6: Final answer
    x = 20,194.79

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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.