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Finding the Fourth Proportional to 81,926.70, 113,060.96 and 46,118

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Solution

The fourth proportional to 81,926.70, 113,060.96 and 46,118 is: 63,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,926.70 : 113,060.96 = 46,118 : x
  2. Step 2: Convert to fraction form
    81,926.70/113,060.96 = 46,118/x
  3. Step 3: Cross multiply
    81,926.70x = 113,060.96 × 46,118
  4. Step 4: Simplify right side
    81,926.70x = 5,214,145,353.28
  5. Step 5: Solve for x
    x = 5,214,145,353.28/81,926.70
  6. Step 6: Final answer
    x = 63,644.03

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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.