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Finding the Fourth Proportional to 81,877.60, 122,816.40 and 29,288.80

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Solution

The fourth proportional to 81,877.60, 122,816.40 and 29,288.80 is: 43,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.60 : 122,816.40 = 29,288.80 : x
  2. Step 2: Convert to fraction form
    81,877.60/122,816.40 = 29,288.80/x
  3. Step 3: Cross multiply
    81,877.60x = 122,816.40 × 29,288.80
  4. Step 4: Simplify right side
    81,877.60x = 3,597,144,976.32
  5. Step 5: Solve for x
    x = 3,597,144,976.32/81,877.60
  6. Step 6: Final answer
    x = 43,933.20

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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.