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Finding the Fourth Proportional to 30,722.94, 42,404.31 and 18,149.58

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Solution

The fourth proportional to 30,722.94, 42,404.31 and 18,149.58 is: 25,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722.94 : 42,404.31 = 18,149.58 : x
  2. Step 2: Convert to fraction form
    30,722.94/42,404.31 = 18,149.58/x
  3. Step 3: Cross multiply
    30,722.94x = 42,404.31 × 18,149.58
  4. Step 4: Simplify right side
    30,722.94x = 769,620,416.69
  5. Step 5: Solve for x
    x = 769,620,416.69/30,722.94
  6. Step 6: Final answer
    x = 25,050.35

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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.