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Finding the Fourth Proportional to 51,855.62, 77,813.67 and 21,868.04

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Solution

The fourth proportional to 51,855.62, 77,813.67 and 21,868.04 is: 32,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.62 : 77,813.67 = 21,868.04 : x
  2. Step 2: Convert to fraction form
    51,855.62/77,813.67 = 21,868.04/x
  3. Step 3: Cross multiply
    51,855.62x = 77,813.67 × 21,868.04
  4. Step 4: Simplify right side
    51,855.62x = 1,701,632,448.11
  5. Step 5: Solve for x
    x = 1,701,632,448.11/51,855.62
  6. Step 6: Final answer
    x = 32,814.81

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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.