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Finding the Fourth Proportional to 129,604.50, 194,406.75 and 31,108.50

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Solution

The fourth proportional to 129,604.50, 194,406.75 and 31,108.50 is: 46,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,604.50 : 194,406.75 = 31,108.50 : x
  2. Step 2: Convert to fraction form
    129,604.50/194,406.75 = 31,108.50/x
  3. Step 3: Cross multiply
    129,604.50x = 194,406.75 × 31,108.50
  4. Step 4: Simplify right side
    129,604.50x = 6,047,702,382.38
  5. Step 5: Solve for x
    x = 6,047,702,382.38/129,604.50
  6. Step 6: Final answer
    x = 46,662.75

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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.