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Finding the Fourth Proportional to 82,380.60, 113,685.48 and 44,654.88

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Solution

The fourth proportional to 82,380.60, 113,685.48 and 44,654.88 is: 61,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,380.60 : 113,685.48 = 44,654.88 : x
  2. Step 2: Convert to fraction form
    82,380.60/113,685.48 = 44,654.88/x
  3. Step 3: Cross multiply
    82,380.60x = 113,685.48 × 44,654.88
  4. Step 4: Simplify right side
    82,380.60x = 5,076,611,467.14
  5. Step 5: Solve for x
    x = 5,076,611,467.14/82,380.60
  6. Step 6: Final answer
    x = 61,623.87

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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.