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Finding the Fourth Proportional to 81,926.60, 122,889.84 and 46,841.64

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Solution

The fourth proportional to 81,926.60, 122,889.84 and 46,841.64 is: 70,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,926.60 : 122,889.84 = 46,841.64 : x
  2. Step 2: Convert to fraction form
    81,926.60/122,889.84 = 46,841.64/x
  3. Step 3: Cross multiply
    81,926.60x = 122,889.84 × 46,841.64
  4. Step 4: Simplify right side
    81,926.60x = 5,756,361,644.94
  5. Step 5: Solve for x
    x = 5,756,361,644.94/81,926.60
  6. Step 6: Final answer
    x = 70,262.43

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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.