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Finding the Fourth Proportional to 109,343.40, 164,005.50 and 30,452.52

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Solution

The fourth proportional to 109,343.40, 164,005.50 and 30,452.52 is: 45,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,343.40 : 164,005.50 = 30,452.52 : x
  2. Step 2: Convert to fraction form
    109,343.40/164,005.50 = 30,452.52/x
  3. Step 3: Cross multiply
    109,343.40x = 164,005.50 × 30,452.52
  4. Step 4: Simplify right side
    109,343.40x = 4,994,380,768.86
  5. Step 5: Solve for x
    x = 4,994,380,768.86/109,343.40
  6. Step 6: Final answer
    x = 45,676.11

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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.