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Finding the Fourth Proportional to 30,588.19, 45,843.60 and 17,447.96

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Solution

The fourth proportional to 30,588.19, 45,843.60 and 17,447.96 is: 26,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.19 : 45,843.60 = 17,447.96 : x
  2. Step 2: Convert to fraction form
    30,588.19/45,843.60 = 17,447.96/x
  3. Step 3: Cross multiply
    30,588.19x = 45,843.60 × 17,447.96
  4. Step 4: Simplify right side
    30,588.19x = 799,877,299.06
  5. Step 5: Solve for x
    x = 799,877,299.06/30,588.19
  6. Step 6: Final answer
    x = 26,149.87

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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.