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Finding the Fourth Proportional to 33,148.25, 49,714.77 and 9,455.34

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Solution

The fourth proportional to 33,148.25, 49,714.77 and 9,455.34 is: 14,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148.25 : 49,714.77 = 9,455.34 : x
  2. Step 2: Convert to fraction form
    33,148.25/49,714.77 = 9,455.34/x
  3. Step 3: Cross multiply
    33,148.25x = 49,714.77 × 9,455.34
  4. Step 4: Simplify right side
    33,148.25x = 470,070,053.37
  5. Step 5: Solve for x
    x = 470,070,053.37/33,148.25
  6. Step 6: Final answer
    x = 14,180.84

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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.