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Finding the Fourth Proportional to 120,293.60, 180,427.44 and 31,556

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Solution

The fourth proportional to 120,293.60, 180,427.44 and 31,556 is: 47,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,293.60 : 180,427.44 = 31,556 : x
  2. Step 2: Convert to fraction form
    120,293.60/180,427.44 = 31,556/x
  3. Step 3: Cross multiply
    120,293.60x = 180,427.44 × 31,556
  4. Step 4: Simplify right side
    120,293.60x = 5,693,568,296.64
  5. Step 5: Solve for x
    x = 5,693,568,296.64/120,293.60
  6. Step 6: Final answer
    x = 47,330.60

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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.