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Finding the Fourth Proportional to 84,090.69, 116,046.05 and 45,849.92

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Solution

The fourth proportional to 84,090.69, 116,046.05 and 45,849.92 is: 63,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,090.69 : 116,046.05 = 45,849.92 : x
  2. Step 2: Convert to fraction form
    84,090.69/116,046.05 = 45,849.92/x
  3. Step 3: Cross multiply
    84,090.69x = 116,046.05 × 45,849.92
  4. Step 4: Simplify right side
    84,090.69x = 5,320,702,108.82
  5. Step 5: Solve for x
    x = 5,320,702,108.82/84,090.69
  6. Step 6: Final answer
    x = 63,273.38

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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.