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Finding the Fourth Proportional to 77,093.84, 106,407.28 and 50,189.50

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Solution

The fourth proportional to 77,093.84, 106,407.28 and 50,189.50 is: 69,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,093.84 : 106,407.28 = 50,189.50 : x
  2. Step 2: Convert to fraction form
    77,093.84/106,407.28 = 50,189.50/x
  3. Step 3: Cross multiply
    77,093.84x = 106,407.28 × 50,189.50
  4. Step 4: Simplify right side
    77,093.84x = 5,340,528,179.56
  5. Step 5: Solve for x
    x = 5,340,528,179.56/77,093.84
  6. Step 6: Final answer
    x = 69,273.09

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1.5x scale

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.