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Finding the Fourth Proportional to 83,136.94, 114,692.44 and 50,873.10

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Solution

The fourth proportional to 83,136.94, 114,692.44 and 50,873.10 is: 70,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,136.94 : 114,692.44 = 50,873.10 : x
  2. Step 2: Convert to fraction form
    83,136.94/114,692.44 = 50,873.10/x
  3. Step 3: Cross multiply
    83,136.94x = 114,692.44 × 50,873.10
  4. Step 4: Simplify right side
    83,136.94x = 5,834,759,969.36
  5. Step 5: Solve for x
    x = 5,834,759,969.36/83,136.94
  6. Step 6: Final answer
    x = 70,182.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.