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Finding the Fourth Proportional to 107,770.99, 161,656.79 and 37,650.30

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Solution

The fourth proportional to 107,770.99, 161,656.79 and 37,650.30 is: 56,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,770.99 : 161,656.79 = 37,650.30 : x
  2. Step 2: Convert to fraction form
    107,770.99/161,656.79 = 37,650.30/x
  3. Step 3: Cross multiply
    107,770.99x = 161,656.79 × 37,650.30
  4. Step 4: Simplify right side
    107,770.99x = 6,086,426,452.29
  5. Step 5: Solve for x
    x = 6,086,426,452.29/107,770.99
  6. Step 6: Final answer
    x = 56,475.55

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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.