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Finding the Fourth Proportional to 84,081.66, 116,031.91 and 46,355.91

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Solution

The fourth proportional to 84,081.66, 116,031.91 and 46,355.91 is: 63,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,081.66 : 116,031.91 = 46,355.91 : x
  2. Step 2: Convert to fraction form
    84,081.66/116,031.91 = 46,355.91/x
  3. Step 3: Cross multiply
    84,081.66x = 116,031.91 × 46,355.91
  4. Step 4: Simplify right side
    84,081.66x = 5,378,764,777.09
  5. Step 5: Solve for x
    x = 5,378,764,777.09/84,081.66
  6. Step 6: Final answer
    x = 63,970.73

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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.