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Finding the Fourth Proportional to 32,984.91, 49,489.82 and 19,846.51

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Solution

The fourth proportional to 32,984.91, 49,489.82 and 19,846.51 is: 29,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.91 : 49,489.82 = 19,846.51 : x
  2. Step 2: Convert to fraction form
    32,984.91/49,489.82 = 19,846.51/x
  3. Step 3: Cross multiply
    32,984.91x = 49,489.82 × 19,846.51
  4. Step 4: Simplify right side
    32,984.91x = 982,200,059.00
  5. Step 5: Solve for x
    x = 982,200,059.00/32,984.91
  6. Step 6: Final answer
    x = 29,777.25

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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.