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Finding the Fourth Proportional to 81,286.26, 112,137.15 and 52,615.16

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Solution

The fourth proportional to 81,286.26, 112,137.15 and 52,615.16 is: 72,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,286.26 : 112,137.15 = 52,615.16 : x
  2. Step 2: Convert to fraction form
    81,286.26/112,137.15 = 52,615.16/x
  3. Step 3: Cross multiply
    81,286.26x = 112,137.15 × 52,615.16
  4. Step 4: Simplify right side
    81,286.26x = 5,900,113,528.51
  5. Step 5: Solve for x
    x = 5,900,113,528.51/81,286.26
  6. Step 6: Final answer
    x = 72,584.39

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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.