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Finding the Fourth Proportional to 51,902.58, 77,814.64 and 21,926.10

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Solution

The fourth proportional to 51,902.58, 77,814.64 and 21,926.10 is: 32,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902.58 : 77,814.64 = 21,926.10 : x
  2. Step 2: Convert to fraction form
    51,902.58/77,814.64 = 21,926.10/x
  3. Step 3: Cross multiply
    51,902.58x = 77,814.64 × 21,926.10
  4. Step 4: Simplify right side
    51,902.58x = 1,706,171,578.10
  5. Step 5: Solve for x
    x = 1,706,171,578.10/51,902.58
  6. Step 6: Final answer
    x = 32,872.58

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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.