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Finding the Fourth Proportional to 76,676.40, 115,057.80 and 29,923.20

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Solution

The fourth proportional to 76,676.40, 115,057.80 and 29,923.20 is: 44,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.40 : 115,057.80 = 29,923.20 : x
  2. Step 2: Convert to fraction form
    76,676.40/115,057.80 = 29,923.20/x
  3. Step 3: Cross multiply
    76,676.40x = 115,057.80 × 29,923.20
  4. Step 4: Simplify right side
    76,676.40x = 3,442,897,560.96
  5. Step 5: Solve for x
    x = 3,442,897,560.96/76,676.40
  6. Step 6: Final answer
    x = 44,901.66

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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.