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Finding the Fourth Proportional to 107,559.29, 161,335.29 and 40,997

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Solution

The fourth proportional to 107,559.29, 161,335.29 and 40,997 is: 61,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,559.29 : 161,335.29 = 40,997 : x
  2. Step 2: Convert to fraction form
    107,559.29/161,335.29 = 40,997/x
  3. Step 3: Cross multiply
    107,559.29x = 161,335.29 × 40,997
  4. Step 4: Simplify right side
    107,559.29x = 6,614,262,884.13
  5. Step 5: Solve for x
    x = 6,614,262,884.13/107,559.29
  6. Step 6: Final answer
    x = 61,494.11

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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.