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Finding the Fourth Proportional to 80,352.47, 120,529.65 and 30,419.15

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Solution

The fourth proportional to 80,352.47, 120,529.65 and 30,419.15 is: 45,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,352.47 : 120,529.65 = 30,419.15 : x
  2. Step 2: Convert to fraction form
    80,352.47/120,529.65 = 30,419.15/x
  3. Step 3: Cross multiply
    80,352.47x = 120,529.65 × 30,419.15
  4. Step 4: Simplify right side
    80,352.47x = 3,666,408,900.15
  5. Step 5: Solve for x
    x = 3,666,408,900.15/80,352.47
  6. Step 6: Final answer
    x = 45,629.08

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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.