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Finding the Fourth Proportional to 84,633.94, 116,797.82 and 46,393.46

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Solution

The fourth proportional to 84,633.94, 116,797.82 and 46,393.46 is: 64,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,633.94 : 116,797.82 = 46,393.46 : x
  2. Step 2: Convert to fraction form
    84,633.94/116,797.82 = 46,393.46/x
  3. Step 3: Cross multiply
    84,633.94x = 116,797.82 × 46,393.46
  4. Step 4: Simplify right side
    84,633.94x = 5,418,655,003.74
  5. Step 5: Solve for x
    x = 5,418,655,003.74/84,633.94
  6. Step 6: Final answer
    x = 64,024.61

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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.