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Finding the Fourth Proportional to 81,922.44, 122,877.90 and 46,751.88

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Solution

The fourth proportional to 81,922.44, 122,877.90 and 46,751.88 is: 70,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,922.44 : 122,877.90 = 46,751.88 : x
  2. Step 2: Convert to fraction form
    81,922.44/122,877.90 = 46,751.88/x
  3. Step 3: Cross multiply
    81,922.44x = 122,877.90 × 46,751.88
  4. Step 4: Simplify right side
    81,922.44x = 5,744,772,835.45
  5. Step 5: Solve for x
    x = 5,744,772,835.45/81,922.44
  6. Step 6: Final answer
    x = 70,124.53

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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.