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Finding the Fourth Proportional to 32,794.48, 49,100.38 and 16,749.28

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Solution

The fourth proportional to 32,794.48, 49,100.38 and 16,749.28 is: 25,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794.48 : 49,100.38 = 16,749.28 : x
  2. Step 2: Convert to fraction form
    32,794.48/49,100.38 = 16,749.28/x
  3. Step 3: Cross multiply
    32,794.48x = 49,100.38 × 16,749.28
  4. Step 4: Simplify right side
    32,794.48x = 822,395,888.93
  5. Step 5: Solve for x
    x = 822,395,888.93/32,794.48
  6. Step 6: Final answer
    x = 25,077.27

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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.