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Finding the Fourth Proportional to 84,162.38, 116,146.51 and 46,439.06

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Solution

The fourth proportional to 84,162.38, 116,146.51 and 46,439.06 is: 64,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,162.38 : 116,146.51 = 46,439.06 : x
  2. Step 2: Convert to fraction form
    84,162.38/116,146.51 = 46,439.06/x
  3. Step 3: Cross multiply
    84,162.38x = 116,146.51 × 46,439.06
  4. Step 4: Simplify right side
    84,162.38x = 5,393,734,049.85
  5. Step 5: Solve for x
    x = 5,393,734,049.85/84,162.38
  6. Step 6: Final answer
    x = 64,087.24

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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.