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Finding the Fourth Proportional to 32,199.49, 48,295.14 and 12,464.56

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Solution

The fourth proportional to 32,199.49, 48,295.14 and 12,464.56 is: 18,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.49 : 48,295.14 = 12,464.56 : x
  2. Step 2: Convert to fraction form
    32,199.49/48,295.14 = 12,464.56/x
  3. Step 3: Cross multiply
    32,199.49x = 48,295.14 × 12,464.56
  4. Step 4: Simplify right side
    32,199.49x = 601,977,670.24
  5. Step 5: Solve for x
    x = 601,977,670.24/32,199.49
  6. Step 6: Final answer
    x = 18,695.25

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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.