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Finding the Fourth Proportional to 129,056, 193,591.29 and 45,950

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Solution

The fourth proportional to 129,056, 193,591.29 and 45,950 is: 68,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,056 : 193,591.29 = 45,950 : x
  2. Step 2: Convert to fraction form
    129,056/193,591.29 = 45,950/x
  3. Step 3: Cross multiply
    129,056x = 193,591.29 × 45,950
  4. Step 4: Simplify right side
    129,056x = 8,895,519,775.50
  5. Step 5: Solve for x
    x = 8,895,519,775.50/129,056
  6. Step 6: Final answer
    x = 68,927.60

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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.