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Finding the Fourth Proportional to 107,934.82, 161,804.21 and 37,775.86

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Solution

The fourth proportional to 107,934.82, 161,804.21 and 37,775.86 is: 56,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,934.82 : 161,804.21 = 37,775.86 : x
  2. Step 2: Convert to fraction form
    107,934.82/161,804.21 = 37,775.86/x
  3. Step 3: Cross multiply
    107,934.82x = 161,804.21 × 37,775.86
  4. Step 4: Simplify right side
    107,934.82x = 6,112,293,184.37
  5. Step 5: Solve for x
    x = 6,112,293,184.37/107,934.82
  6. Step 6: Final answer
    x = 56,629.48

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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.