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Finding the Fourth Proportional to 32,554.44, 48,834.36 and 9,181.08

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Solution

The fourth proportional to 32,554.44, 48,834.36 and 9,181.08 is: 13,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,554.44 : 48,834.36 = 9,181.08 : x
  2. Step 2: Convert to fraction form
    32,554.44/48,834.36 = 9,181.08/x
  3. Step 3: Cross multiply
    32,554.44x = 48,834.36 × 9,181.08
  4. Step 4: Simplify right side
    32,554.44x = 448,352,165.91
  5. Step 5: Solve for x
    x = 448,352,165.91/32,554.44
  6. Step 6: Final answer
    x = 13,772.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.