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Finding the Fourth Proportional to 82,094.45, 113,290.80 and 51,893.06

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Solution

The fourth proportional to 82,094.45, 113,290.80 and 51,893.06 is: 71,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,094.45 : 113,290.80 = 51,893.06 : x
  2. Step 2: Convert to fraction form
    82,094.45/113,290.80 = 51,893.06/x
  3. Step 3: Cross multiply
    82,094.45x = 113,290.80 × 51,893.06
  4. Step 4: Simplify right side
    82,094.45x = 5,879,006,281.85
  5. Step 5: Solve for x
    x = 5,879,006,281.85/82,094.45
  6. Step 6: Final answer
    x = 71,612.71

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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.