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Finding the Fourth Proportional to 120,556.16, 180,813.60 and 31,810.60

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Solution

The fourth proportional to 120,556.16, 180,813.60 and 31,810.60 is: 47,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,556.16 : 180,813.60 = 31,810.60 : x
  2. Step 2: Convert to fraction form
    120,556.16/180,813.60 = 31,810.60/x
  3. Step 3: Cross multiply
    120,556.16x = 180,813.60 × 31,810.60
  4. Step 4: Simplify right side
    120,556.16x = 5,751,789,104.16
  5. Step 5: Solve for x
    x = 5,751,789,104.16/120,556.16
  6. Step 6: Final answer
    x = 47,710.45

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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.