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Finding the Fourth Proportional to 84,577.92, 116,712.48 and 46,849.44

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Solution

The fourth proportional to 84,577.92, 116,712.48 and 46,849.44 is: 64,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,577.92 : 116,712.48 = 46,849.44 : x
  2. Step 2: Convert to fraction form
    84,577.92/116,712.48 = 46,849.44/x
  3. Step 3: Cross multiply
    84,577.92x = 116,712.48 × 46,849.44
  4. Step 4: Simplify right side
    84,577.92x = 5,467,914,329.01
  5. Step 5: Solve for x
    x = 5,467,914,329.01/84,577.92
  6. Step 6: Final answer
    x = 64,649.43

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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.