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Finding the Fourth Proportional to 84,064.80, 116,005.68 and 46,336.80

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Solution

The fourth proportional to 84,064.80, 116,005.68 and 46,336.80 is: 63,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,064.80 : 116,005.68 = 46,336.80 : x
  2. Step 2: Convert to fraction form
    84,064.80/116,005.68 = 46,336.80/x
  3. Step 3: Cross multiply
    84,064.80x = 116,005.68 × 46,336.80
  4. Step 4: Simplify right side
    84,064.80x = 5,375,331,993.02
  5. Step 5: Solve for x
    x = 5,375,331,993.02/84,064.80
  6. Step 6: Final answer
    x = 63,942.72

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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.