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Finding the Fourth Proportional to 97,676.25, 146,520.06 and 37,705.07

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Solution

The fourth proportional to 97,676.25, 146,520.06 and 37,705.07 is: 56,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,676.25 : 146,520.06 = 37,705.07 : x
  2. Step 2: Convert to fraction form
    97,676.25/146,520.06 = 37,705.07/x
  3. Step 3: Cross multiply
    97,676.25x = 146,520.06 × 37,705.07
  4. Step 4: Simplify right side
    97,676.25x = 5,524,548,197.58
  5. Step 5: Solve for x
    x = 5,524,548,197.58/97,676.25
  6. Step 6: Final answer
    x = 56,559.79

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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.