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Finding the Fourth Proportional to 85,082.30, 117,409.11 and 46,834.37

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Solution

The fourth proportional to 85,082.30, 117,409.11 and 46,834.37 is: 64,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,082.30 : 117,409.11 = 46,834.37 : x
  2. Step 2: Convert to fraction form
    85,082.30/117,409.11 = 46,834.37/x
  3. Step 3: Cross multiply
    85,082.30x = 117,409.11 × 46,834.37
  4. Step 4: Simplify right side
    85,082.30x = 5,498,781,992.63
  5. Step 5: Solve for x
    x = 5,498,781,992.63/85,082.30
  6. Step 6: Final answer
    x = 64,628.98

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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.