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Finding the Fourth Proportional to 32,513.38, 48,771.75 and 10,328.49

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Solution

The fourth proportional to 32,513.38, 48,771.75 and 10,328.49 is: 15,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.38 : 48,771.75 = 10,328.49 : x
  2. Step 2: Convert to fraction form
    32,513.38/48,771.75 = 10,328.49/x
  3. Step 3: Cross multiply
    32,513.38x = 48,771.75 × 10,328.49
  4. Step 4: Simplify right side
    32,513.38x = 503,738,570.89
  5. Step 5: Solve for x
    x = 503,738,570.89/32,513.38
  6. Step 6: Final answer
    x = 15,493.27

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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.