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Finding the Fourth Proportional to 116,480.43, 174,729 and 31,090.84

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Solution

The fourth proportional to 116,480.43, 174,729 and 31,090.84 is: 46,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,480.43 : 174,729 = 31,090.84 : x
  2. Step 2: Convert to fraction form
    116,480.43/174,729 = 31,090.84/x
  3. Step 3: Cross multiply
    116,480.43x = 174,729 × 31,090.84
  4. Step 4: Simplify right side
    116,480.43x = 5,432,470,945.54
  5. Step 5: Solve for x
    x = 5,432,470,945.54/116,480.43
  6. Step 6: Final answer
    x = 46,638.49

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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.