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Finding the Fourth Proportional to 51,489, 71,056.98 and 29,133

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Solution

The fourth proportional to 51,489, 71,056.98 and 29,133 is: 40,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489 : 71,056.98 = 29,133 : x
  2. Step 2: Convert to fraction form
    51,489/71,056.98 = 29,133/x
  3. Step 3: Cross multiply
    51,489x = 71,056.98 × 29,133
  4. Step 4: Simplify right side
    51,489x = 2,070,102,998.34
  5. Step 5: Solve for x
    x = 2,070,102,998.34/51,489
  6. Step 6: Final answer
    x = 40,204.76

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Why These Related Problems?

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