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Finding the Fourth Proportional to 84,286.17, 116,313.35 and 46,559.61

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Solution

The fourth proportional to 84,286.17, 116,313.35 and 46,559.61 is: 64,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,286.17 : 116,313.35 = 46,559.61 : x
  2. Step 2: Convert to fraction form
    84,286.17/116,313.35 = 46,559.61/x
  3. Step 3: Cross multiply
    84,286.17x = 116,313.35 × 46,559.61
  4. Step 4: Simplify right side
    84,286.17x = 5,415,503,981.00
  5. Step 5: Solve for x
    x = 5,415,503,981.00/84,286.17
  6. Step 6: Final answer
    x = 64,251.39

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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.