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Finding the Fourth Proportional to 117,782.25, 176,675.31 and 33,544.50

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Solution

The fourth proportional to 117,782.25, 176,675.31 and 33,544.50 is: 50,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,782.25 : 176,675.31 = 33,544.50 : x
  2. Step 2: Convert to fraction form
    117,782.25/176,675.31 = 33,544.50/x
  3. Step 3: Cross multiply
    117,782.25x = 176,675.31 × 33,544.50
  4. Step 4: Simplify right side
    117,782.25x = 5,926,484,936.30
  5. Step 5: Solve for x
    x = 5,926,484,936.30/117,782.25
  6. Step 6: Final answer
    x = 50,317.30

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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.