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Finding the Fourth Proportional to 84,383.75, 116,453.22 and 46,658

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Solution

The fourth proportional to 84,383.75, 116,453.22 and 46,658 is: 64,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,383.75 : 116,453.22 = 46,658 : x
  2. Step 2: Convert to fraction form
    84,383.75/116,453.22 = 46,658/x
  3. Step 3: Cross multiply
    84,383.75x = 116,453.22 × 46,658
  4. Step 4: Simplify right side
    84,383.75x = 5,433,474,338.76
  5. Step 5: Solve for x
    x = 5,433,474,338.76/84,383.75
  6. Step 6: Final answer
    x = 64,390.06

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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.