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Finding the Fourth Proportional to 116,087.21, 174,116.77 and 31,854.23

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Solution

The fourth proportional to 116,087.21, 174,116.77 and 31,854.23 is: 47,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,087.21 : 174,116.77 = 31,854.23 : x
  2. Step 2: Convert to fraction form
    116,087.21/174,116.77 = 31,854.23/x
  3. Step 3: Cross multiply
    116,087.21x = 174,116.77 × 31,854.23
  4. Step 4: Simplify right side
    116,087.21x = 5,546,355,638.44
  5. Step 5: Solve for x
    x = 5,546,355,638.44/116,087.21
  6. Step 6: Final answer
    x = 47,777.49

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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.