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Finding the Fourth Proportional to 82,874.58, 124,310.16 and 23,709.84

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Solution

The fourth proportional to 82,874.58, 124,310.16 and 23,709.84 is: 35,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,874.58 : 124,310.16 = 23,709.84 : x
  2. Step 2: Convert to fraction form
    82,874.58/124,310.16 = 23,709.84/x
  3. Step 3: Cross multiply
    82,874.58x = 124,310.16 × 23,709.84
  4. Step 4: Simplify right side
    82,874.58x = 2,947,374,003.97
  5. Step 5: Solve for x
    x = 2,947,374,003.97/82,874.58
  6. Step 6: Final answer
    x = 35,564.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.