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Finding the Fourth Proportional to 84,871.24, 117,122.37 and 46,633.24

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Solution

The fourth proportional to 84,871.24, 117,122.37 and 46,633.24 is: 64,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,871.24 : 117,122.37 = 46,633.24 : x
  2. Step 2: Convert to fraction form
    84,871.24/117,122.37 = 46,633.24/x
  3. Step 3: Cross multiply
    84,871.24x = 117,122.37 × 46,633.24
  4. Step 4: Simplify right side
    84,871.24x = 5,461,795,589.58
  5. Step 5: Solve for x
    x = 5,461,795,589.58/84,871.24
  6. Step 6: Final answer
    x = 64,353.90

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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.