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Finding the Fourth Proportional to 32,992.28, 49,488.44 and 8,032.33

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Solution

The fourth proportional to 32,992.28, 49,488.44 and 8,032.33 is: 12,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.28 : 49,488.44 = 8,032.33 : x
  2. Step 2: Convert to fraction form
    32,992.28/49,488.44 = 8,032.33/x
  3. Step 3: Cross multiply
    32,992.28x = 49,488.44 × 8,032.33
  4. Step 4: Simplify right side
    32,992.28x = 397,507,502.96
  5. Step 5: Solve for x
    x = 397,507,502.96/32,992.28
  6. Step 6: Final answer
    x = 12,048.50

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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.