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Finding the Fourth Proportional to 107,649.71, 161,490.96 and 55,041.42

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Solution

The fourth proportional to 107,649.71, 161,490.96 and 55,041.42 is: 82,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,649.71 : 161,490.96 = 55,041.42 : x
  2. Step 2: Convert to fraction form
    107,649.71/161,490.96 = 55,041.42/x
  3. Step 3: Cross multiply
    107,649.71x = 161,490.96 × 55,041.42
  4. Step 4: Simplify right side
    107,649.71x = 8,888,691,755.56
  5. Step 5: Solve for x
    x = 8,888,691,755.56/107,649.71
  6. Step 6: Final answer
    x = 82,570.52

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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.