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Finding the Fourth Proportional to 97,768.80, 146,593.80 and 38,536.20

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Solution

The fourth proportional to 97,768.80, 146,593.80 and 38,536.20 is: 57,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,768.80 : 146,593.80 = 38,536.20 : x
  2. Step 2: Convert to fraction form
    97,768.80/146,593.80 = 38,536.20/x
  3. Step 3: Cross multiply
    97,768.80x = 146,593.80 × 38,536.20
  4. Step 4: Simplify right side
    97,768.80x = 5,649,167,995.56
  5. Step 5: Solve for x
    x = 5,649,167,995.56/97,768.80
  6. Step 6: Final answer
    x = 57,780.89

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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.