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Finding the Fourth Proportional to 116,132.77, 174,199.02 and 31,893.85

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Solution

The fourth proportional to 116,132.77, 174,199.02 and 31,893.85 is: 47,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,132.77 : 174,199.02 = 31,893.85 : x
  2. Step 2: Convert to fraction form
    116,132.77/174,199.02 = 31,893.85/x
  3. Step 3: Cross multiply
    116,132.77x = 174,199.02 × 31,893.85
  4. Step 4: Simplify right side
    116,132.77x = 5,555,877,414.03
  5. Step 5: Solve for x
    x = 5,555,877,414.03/116,132.77
  6. Step 6: Final answer
    x = 47,840.74

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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.