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Finding the Fourth Proportional to 82,171.36, 113,394.63 and 46,360.45

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Solution

The fourth proportional to 82,171.36, 113,394.63 and 46,360.45 is: 63,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,171.36 : 113,394.63 = 46,360.45 : x
  2. Step 2: Convert to fraction form
    82,171.36/113,394.63 = 46,360.45/x
  3. Step 3: Cross multiply
    82,171.36x = 113,394.63 × 46,360.45
  4. Step 4: Simplify right side
    82,171.36x = 5,257,026,074.38
  5. Step 5: Solve for x
    x = 5,257,026,074.38/82,171.36
  6. Step 6: Final answer
    x = 63,976.38

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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.