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Finding the Fourth Proportional to 51,184.88, 70,611 and 29,951.12

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Solution

The fourth proportional to 51,184.88, 70,611 and 29,951.12 is: 41,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,184.88 : 70,611 = 29,951.12 : x
  2. Step 2: Convert to fraction form
    51,184.88/70,611 = 29,951.12/x
  3. Step 3: Cross multiply
    51,184.88x = 70,611 × 29,951.12
  4. Step 4: Simplify right side
    51,184.88x = 2,114,878,534.32
  5. Step 5: Solve for x
    x = 2,114,878,534.32/51,184.88
  6. Step 6: Final answer
    x = 41,318.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.