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Finding the Fourth Proportional to 129,605.50, 194,408.25 and 31,109.50

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Solution

The fourth proportional to 129,605.50, 194,408.25 and 31,109.50 is: 46,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,605.50 : 194,408.25 = 31,109.50 : x
  2. Step 2: Convert to fraction form
    129,605.50/194,408.25 = 31,109.50/x
  3. Step 3: Cross multiply
    129,605.50x = 194,408.25 × 31,109.50
  4. Step 4: Simplify right side
    129,605.50x = 6,047,943,453.38
  5. Step 5: Solve for x
    x = 6,047,943,453.38/129,605.50
  6. Step 6: Final answer
    x = 46,664.25

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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.