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Finding the Fourth Proportional to 32,842.80, 49,164.84 and 21,164.40

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Solution

The fourth proportional to 32,842.80, 49,164.84 and 21,164.40 is: 31,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.80 : 49,164.84 = 21,164.40 : x
  2. Step 2: Convert to fraction form
    32,842.80/49,164.84 = 21,164.40/x
  3. Step 3: Cross multiply
    32,842.80x = 49,164.84 × 21,164.40
  4. Step 4: Simplify right side
    32,842.80x = 1,040,544,339.70
  5. Step 5: Solve for x
    x = 1,040,544,339.70/32,842.80
  6. Step 6: Final answer
    x = 31,682.57

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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.