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Finding the Fourth Proportional to 107,534.14, 161,290.14 and 32,651.26

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Solution

The fourth proportional to 107,534.14, 161,290.14 and 32,651.26 is: 48,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,534.14 : 161,290.14 = 32,651.26 : x
  2. Step 2: Convert to fraction form
    107,534.14/161,290.14 = 32,651.26/x
  3. Step 3: Cross multiply
    107,534.14x = 161,290.14 × 32,651.26
  4. Step 4: Simplify right side
    107,534.14x = 5,266,326,296.58
  5. Step 5: Solve for x
    x = 5,266,326,296.58/107,534.14
  6. Step 6: Final answer
    x = 48,973.53

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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.