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Finding the Fourth Proportional to 32,465.30, 48,719.82 and 12,741.53

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Solution

The fourth proportional to 32,465.30, 48,719.82 and 12,741.53 is: 19,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.30 : 48,719.82 = 12,741.53 : x
  2. Step 2: Convert to fraction form
    32,465.30/48,719.82 = 12,741.53/x
  3. Step 3: Cross multiply
    32,465.30x = 48,719.82 × 12,741.53
  4. Step 4: Simplify right side
    32,465.30x = 620,764,984.42
  5. Step 5: Solve for x
    x = 620,764,984.42/32,465.30
  6. Step 6: Final answer
    x = 19,120.88

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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.