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Finding the Fourth Proportional to 32,511.42, 48,768.82 and 10,326.53

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Solution

The fourth proportional to 32,511.42, 48,768.82 and 10,326.53 is: 15,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511.42 : 48,768.82 = 10,326.53 : x
  2. Step 2: Convert to fraction form
    32,511.42/48,768.82 = 10,326.53/x
  3. Step 3: Cross multiply
    32,511.42x = 48,768.82 × 10,326.53
  4. Step 4: Simplify right side
    32,511.42x = 503,612,682.79
  5. Step 5: Solve for x
    x = 503,612,682.79/32,511.42
  6. Step 6: Final answer
    x = 15,490.33

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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.