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Finding the Fourth Proportional to 32,245.70, 48,368.55 and 30,431.30

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Solution

The fourth proportional to 32,245.70, 48,368.55 and 30,431.30 is: 45,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,245.70 : 48,368.55 = 30,431.30 : x
  2. Step 2: Convert to fraction form
    32,245.70/48,368.55 = 30,431.30/x
  3. Step 3: Cross multiply
    32,245.70x = 48,368.55 × 30,431.30
  4. Step 4: Simplify right side
    32,245.70x = 1,471,917,855.62
  5. Step 5: Solve for x
    x = 1,471,917,855.62/32,245.70
  6. Step 6: Final answer
    x = 45,646.95

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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.