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Finding the Fourth Proportional to 82,600.64, 113,989.32 and 44,874.96

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Solution

The fourth proportional to 82,600.64, 113,989.32 and 44,874.96 is: 61,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,600.64 : 113,989.32 = 44,874.96 : x
  2. Step 2: Convert to fraction form
    82,600.64/113,989.32 = 44,874.96/x
  3. Step 3: Cross multiply
    82,600.64x = 113,989.32 × 44,874.96
  4. Step 4: Simplify right side
    82,600.64x = 5,115,266,175.43
  5. Step 5: Solve for x
    x = 5,115,266,175.43/82,600.64
  6. Step 6: Final answer
    x = 61,927.68

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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.