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Finding the Fourth Proportional to 51,783.36, 77,675.01 and 22,182

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Solution

The fourth proportional to 51,783.36, 77,675.01 and 22,182 is: 33,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,783.36 : 77,675.01 = 22,182 : x
  2. Step 2: Convert to fraction form
    51,783.36/77,675.01 = 22,182/x
  3. Step 3: Cross multiply
    51,783.36x = 77,675.01 × 22,182
  4. Step 4: Simplify right side
    51,783.36x = 1,722,987,071.82
  5. Step 5: Solve for x
    x = 1,722,987,071.82/51,783.36
  6. Step 6: Final answer
    x = 33,272.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.