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Finding the Fourth Proportional to 117,865.80, 176,804.55 and 33,638.40

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Solution

The fourth proportional to 117,865.80, 176,804.55 and 33,638.40 is: 50,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,865.80 : 176,804.55 = 33,638.40 : x
  2. Step 2: Convert to fraction form
    117,865.80/176,804.55 = 33,638.40/x
  3. Step 3: Cross multiply
    117,865.80x = 176,804.55 × 33,638.40
  4. Step 4: Simplify right side
    117,865.80x = 5,947,422,174.72
  5. Step 5: Solve for x
    x = 5,947,422,174.72/117,865.80
  6. Step 6: Final answer
    x = 50,459.27

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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.