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Finding the Fourth Proportional to 107,649.98, 161,485.98 and 41,146.09

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Solution

The fourth proportional to 107,649.98, 161,485.98 and 41,146.09 is: 61,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,649.98 : 161,485.98 = 41,146.09 : x
  2. Step 2: Convert to fraction form
    107,649.98/161,485.98 = 41,146.09/x
  3. Step 3: Cross multiply
    107,649.98x = 161,485.98 × 41,146.09
  4. Step 4: Simplify right side
    107,649.98x = 6,644,516,666.82
  5. Step 5: Solve for x
    x = 6,644,516,666.82/107,649.98
  6. Step 6: Final answer
    x = 61,723.34

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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.