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Finding the Fourth Proportional to 32,224.08, 48,248.64 and 32,049.12

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Solution

The fourth proportional to 32,224.08, 48,248.64 and 32,049.12 is: 47,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224.08 : 48,248.64 = 32,049.12 : x
  2. Step 2: Convert to fraction form
    32,224.08/48,248.64 = 32,049.12/x
  3. Step 3: Cross multiply
    32,224.08x = 48,248.64 × 32,049.12
  4. Step 4: Simplify right side
    32,224.08x = 1,546,326,453.20
  5. Step 5: Solve for x
    x = 1,546,326,453.20/32,224.08
  6. Step 6: Final answer
    x = 47,986.67

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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.