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Finding the Fourth Proportional to 51,406.30, 70,912.18 and 29,893.68

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Solution

The fourth proportional to 51,406.30, 70,912.18 and 29,893.68 is: 41,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,406.30 : 70,912.18 = 29,893.68 : x
  2. Step 2: Convert to fraction form
    51,406.30/70,912.18 = 29,893.68/x
  3. Step 3: Cross multiply
    51,406.30x = 70,912.18 × 29,893.68
  4. Step 4: Simplify right side
    51,406.30x = 2,119,825,909.79
  5. Step 5: Solve for x
    x = 2,119,825,909.79/51,406.30
  6. Step 6: Final answer
    x = 41,236.70

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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.