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Finding the Fourth Proportional to 32,991.98, 49,488.06 and 8,032.03

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Solution

The fourth proportional to 32,991.98, 49,488.06 and 8,032.03 is: 12,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.98 : 49,488.06 = 8,032.03 : x
  2. Step 2: Convert to fraction form
    32,991.98/49,488.06 = 8,032.03/x
  3. Step 3: Cross multiply
    32,991.98x = 49,488.06 × 8,032.03
  4. Step 4: Simplify right side
    32,991.98x = 397,489,488.96
  5. Step 5: Solve for x
    x = 397,489,488.96/32,991.98
  6. Step 6: Final answer
    x = 12,048.07

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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.