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Finding the Fourth Proportional to 82,661.58, 114,054.21 and 46,843.38

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Solution

The fourth proportional to 82,661.58, 114,054.21 and 46,843.38 is: 64,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,661.58 : 114,054.21 = 46,843.38 : x
  2. Step 2: Convert to fraction form
    82,661.58/114,054.21 = 46,843.38/x
  3. Step 3: Cross multiply
    82,661.58x = 114,054.21 × 46,843.38
  4. Step 4: Simplify right side
    82,661.58x = 5,342,684,699.63
  5. Step 5: Solve for x
    x = 5,342,684,699.63/82,661.58
  6. Step 6: Final answer
    x = 64,633.23

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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.