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Finding the Fourth Proportional to 83,174.33, 114,774.37 and 50,895.77

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Solution

The fourth proportional to 83,174.33, 114,774.37 and 50,895.77 is: 70,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,174.33 : 114,774.37 = 50,895.77 : x
  2. Step 2: Convert to fraction form
    83,174.33/114,774.37 = 50,895.77/x
  3. Step 3: Cross multiply
    83,174.33x = 114,774.37 × 50,895.77
  4. Step 4: Simplify right side
    83,174.33x = 5,841,529,236.30
  5. Step 5: Solve for x
    x = 5,841,529,236.30/83,174.33
  6. Step 6: Final answer
    x = 70,232.35

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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.