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Finding the Fourth Proportional to 107,322.33, 160,983.50 and 37,201.64

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Solution

The fourth proportional to 107,322.33, 160,983.50 and 37,201.64 is: 55,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,322.33 : 160,983.50 = 37,201.64 : x
  2. Step 2: Convert to fraction form
    107,322.33/160,983.50 = 37,201.64/x
  3. Step 3: Cross multiply
    107,322.33x = 160,983.50 × 37,201.64
  4. Step 4: Simplify right side
    107,322.33x = 5,988,850,212.94
  5. Step 5: Solve for x
    x = 5,988,850,212.94/107,322.33
  6. Step 6: Final answer
    x = 55,802.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.