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Finding the Fourth Proportional to 107,769.99, 161,655.29 and 37,649.30

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Solution

The fourth proportional to 107,769.99, 161,655.29 and 37,649.30 is: 56,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,769.99 : 161,655.29 = 37,649.30 : x
  2. Step 2: Convert to fraction form
    107,769.99/161,655.29 = 37,649.30/x
  3. Step 3: Cross multiply
    107,769.99x = 161,655.29 × 37,649.30
  4. Step 4: Simplify right side
    107,769.99x = 6,086,208,321.55
  5. Step 5: Solve for x
    x = 6,086,208,321.55/107,769.99
  6. Step 6: Final answer
    x = 56,474.05

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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.