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Finding the Fourth Proportional to 92,072.70, 138,036.15 and 50,519.70

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Solution

The fourth proportional to 92,072.70, 138,036.15 and 50,519.70 is: 75,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,072.70 : 138,036.15 = 50,519.70 : x
  2. Step 2: Convert to fraction form
    92,072.70/138,036.15 = 50,519.70/x
  3. Step 3: Cross multiply
    92,072.70x = 138,036.15 × 50,519.70
  4. Step 4: Simplify right side
    92,072.70x = 6,973,544,887.16
  5. Step 5: Solve for x
    x = 6,973,544,887.16/92,072.70
  6. Step 6: Final answer
    x = 75,739.55

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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.