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Finding the Fourth Proportional to 32,074.63, 48,113.91 and 12,353.24

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Solution

The fourth proportional to 32,074.63, 48,113.91 and 12,353.24 is: 18,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.63 : 48,113.91 = 12,353.24 : x
  2. Step 2: Convert to fraction form
    32,074.63/48,113.91 = 12,353.24/x
  3. Step 3: Cross multiply
    32,074.63x = 48,113.91 × 12,353.24
  4. Step 4: Simplify right side
    32,074.63x = 594,362,797.85
  5. Step 5: Solve for x
    x = 594,362,797.85/32,074.63
  6. Step 6: Final answer
    x = 18,530.62

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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.