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Finding the Fourth Proportional to 32,129.81, 48,196.97 and 9,940.27

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Solution

The fourth proportional to 32,129.81, 48,196.97 and 9,940.27 is: 14,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.81 : 48,196.97 = 9,940.27 : x
  2. Step 2: Convert to fraction form
    32,129.81/48,196.97 = 9,940.27/x
  3. Step 3: Cross multiply
    32,129.81x = 48,196.97 × 9,940.27
  4. Step 4: Simplify right side
    32,129.81x = 479,090,908.35
  5. Step 5: Solve for x
    x = 479,090,908.35/32,129.81
  6. Step 6: Final answer
    x = 14,911.10

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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.