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Finding the Fourth Proportional to 73,242.88, 109,592.16 and 43,676.80

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Solution

The fourth proportional to 73,242.88, 109,592.16 and 43,676.80 is: 65,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242.88 : 109,592.16 = 43,676.80 : x
  2. Step 2: Convert to fraction form
    73,242.88/109,592.16 = 43,676.80/x
  3. Step 3: Cross multiply
    73,242.88x = 109,592.16 × 43,676.80
  4. Step 4: Simplify right side
    73,242.88x = 4,786,634,853.89
  5. Step 5: Solve for x
    x = 4,786,634,853.89/73,242.88
  6. Step 6: Final answer
    x = 65,352.90

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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.