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Finding the Fourth Proportional to 51,709.23, 71,353.02 and 29,043

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Solution

The fourth proportional to 51,709.23, 71,353.02 and 29,043 is: 40,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,709.23 : 71,353.02 = 29,043 : x
  2. Step 2: Convert to fraction form
    51,709.23/71,353.02 = 29,043/x
  3. Step 3: Cross multiply
    51,709.23x = 71,353.02 × 29,043
  4. Step 4: Simplify right side
    51,709.23x = 2,072,305,759.86
  5. Step 5: Solve for x
    x = 2,072,305,759.86/51,709.23
  6. Step 6: Final answer
    x = 40,076.13

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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.