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Finding the Fourth Proportional to 32,158.30, 48,311.57 and 30,829.74

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Solution

The fourth proportional to 32,158.30, 48,311.57 and 30,829.74 is: 46,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,158.30 : 48,311.57 = 30,829.74 : x
  2. Step 2: Convert to fraction form
    32,158.30/48,311.57 = 30,829.74/x
  3. Step 3: Cross multiply
    32,158.30x = 48,311.57 × 30,829.74
  4. Step 4: Simplify right side
    32,158.30x = 1,489,433,142.09
  5. Step 5: Solve for x
    x = 1,489,433,142.09/32,158.30
  6. Step 6: Final answer
    x = 46,315.67

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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.