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Finding the Fourth Proportional to 30,256.82, 45,385.22 and 9,197.03

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Solution

The fourth proportional to 30,256.82, 45,385.22 and 9,197.03 is: 13,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.82 : 45,385.22 = 9,197.03 : x
  2. Step 2: Convert to fraction form
    30,256.82/45,385.22 = 9,197.03/x
  3. Step 3: Cross multiply
    30,256.82x = 45,385.22 × 9,197.03
  4. Step 4: Simplify right side
    30,256.82x = 417,408,956.99
  5. Step 5: Solve for x
    x = 417,408,956.99/30,256.82
  6. Step 6: Final answer
    x = 13,795.54

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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.