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Finding the Fourth Proportional to 30,434.51, 45,652.26 and 13,794.68

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Solution

The fourth proportional to 30,434.51, 45,652.26 and 13,794.68 is: 20,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.51 : 45,652.26 = 13,794.68 : x
  2. Step 2: Convert to fraction form
    30,434.51/45,652.26 = 13,794.68/x
  3. Step 3: Cross multiply
    30,434.51x = 45,652.26 × 13,794.68
  4. Step 4: Simplify right side
    30,434.51x = 629,758,089.72
  5. Step 5: Solve for x
    x = 629,758,089.72/30,434.51
  6. Step 6: Final answer
    x = 20,692.24

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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.