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Finding the Fourth Proportional to 32,824, 49,236.06 and 8,200

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Solution

The fourth proportional to 32,824, 49,236.06 and 8,200 is: 12,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824 : 49,236.06 = 8,200 : x
  2. Step 2: Convert to fraction form
    32,824/49,236.06 = 8,200/x
  3. Step 3: Cross multiply
    32,824x = 49,236.06 × 8,200
  4. Step 4: Simplify right side
    32,824x = 403,735,692
  5. Step 5: Solve for x
    x = 403,735,692/32,824
  6. Step 6: Final answer
    x = 12,300.01

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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.