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Finding the Fourth Proportional to 82,102.60, 113,304.77 and 46,291.84

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Solution

The fourth proportional to 82,102.60, 113,304.77 and 46,291.84 is: 63,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102.60 : 113,304.77 = 46,291.84 : x
  2. Step 2: Convert to fraction form
    82,102.60/113,304.77 = 46,291.84/x
  3. Step 3: Cross multiply
    82,102.60x = 113,304.77 × 46,291.84
  4. Step 4: Simplify right side
    82,102.60x = 5,245,085,942.95
  5. Step 5: Solve for x
    x = 5,245,085,942.95/82,102.60
  6. Step 6: Final answer
    x = 63,884.53

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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.