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Finding the Fourth Proportional to 107,683.90, 161,537.19 and 37,563.82

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Solution

The fourth proportional to 107,683.90, 161,537.19 and 37,563.82 is: 56,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,683.90 : 161,537.19 = 37,563.82 : x
  2. Step 2: Convert to fraction form
    107,683.90/161,537.19 = 37,563.82/x
  3. Step 3: Cross multiply
    107,683.90x = 161,537.19 × 37,563.82
  4. Step 4: Simplify right side
    107,683.90x = 6,067,953,928.47
  5. Step 5: Solve for x
    x = 6,067,953,928.47/107,683.90
  6. Step 6: Final answer
    x = 56,349.69

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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.