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Finding the Fourth Proportional to 84,136.17, 116,110.11 and 45,896.37

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Solution

The fourth proportional to 84,136.17, 116,110.11 and 45,896.37 is: 63,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,136.17 : 116,110.11 = 45,896.37 : x
  2. Step 2: Convert to fraction form
    84,136.17/116,110.11 = 45,896.37/x
  3. Step 3: Cross multiply
    84,136.17x = 116,110.11 × 45,896.37
  4. Step 4: Simplify right side
    84,136.17x = 5,329,032,569.30
  5. Step 5: Solve for x
    x = 5,329,032,569.30/84,136.17
  6. Step 6: Final answer
    x = 63,338.19

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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.