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Finding the Fourth Proportional to 84,174, 116,162.55 and 46,450.68

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Solution

The fourth proportional to 84,174, 116,162.55 and 46,450.68 is: 64,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174 : 116,162.55 = 46,450.68 : x
  2. Step 2: Convert to fraction form
    84,174/116,162.55 = 46,450.68/x
  3. Step 3: Cross multiply
    84,174x = 116,162.55 × 46,450.68
  4. Step 4: Simplify right side
    84,174x = 5,395,829,438.03
  5. Step 5: Solve for x
    x = 5,395,829,438.03/84,174
  6. Step 6: Final answer
    x = 64,103.28

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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.