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Finding the Fourth Proportional to 32,450.48, 48,675.72 and 11,674

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Solution

The fourth proportional to 32,450.48, 48,675.72 and 11,674 is: 17,511

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.48 : 48,675.72 = 11,674 : x
  2. Step 2: Convert to fraction form
    32,450.48/48,675.72 = 11,674/x
  3. Step 3: Cross multiply
    32,450.48x = 48,675.72 × 11,674
  4. Step 4: Simplify right side
    32,450.48x = 568,240,355.28
  5. Step 5: Solve for x
    x = 568,240,355.28/32,450.48
  6. Step 6: Final answer
    x = 17,511

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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.