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Finding the Fourth Proportional to 84,459.31, 116,553.84 and 46,218.87

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Solution

The fourth proportional to 84,459.31, 116,553.84 and 46,218.87 is: 63,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,459.31 : 116,553.84 = 46,218.87 : x
  2. Step 2: Convert to fraction form
    84,459.31/116,553.84 = 46,218.87/x
  3. Step 3: Cross multiply
    84,459.31x = 116,553.84 × 46,218.87
  4. Step 4: Simplify right side
    84,459.31x = 5,386,986,778.96
  5. Step 5: Solve for x
    x = 5,386,986,778.96/84,459.31
  6. Step 6: Final answer
    x = 63,782.04

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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.