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Finding the Fourth Proportional to 51,230, 70,755.72 and 34,433.84

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Solution

The fourth proportional to 51,230, 70,755.72 and 34,433.84 is: 47,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,230 : 70,755.72 = 34,433.84 : x
  2. Step 2: Convert to fraction form
    51,230/70,755.72 = 34,433.84/x
  3. Step 3: Cross multiply
    51,230x = 70,755.72 × 34,433.84
  4. Step 4: Simplify right side
    51,230x = 2,436,391,141.56
  5. Step 5: Solve for x
    x = 2,436,391,141.56/51,230
  6. Step 6: Final answer
    x = 47,557.90

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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.