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Finding the Fourth Proportional to 51,573, 71,170.74 and 29,217

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Solution

The fourth proportional to 51,573, 71,170.74 and 29,217 is: 40,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,573 : 71,170.74 = 29,217 : x
  2. Step 2: Convert to fraction form
    51,573/71,170.74 = 29,217/x
  3. Step 3: Cross multiply
    51,573x = 71,170.74 × 29,217
  4. Step 4: Simplify right side
    51,573x = 2,079,395,510.58
  5. Step 5: Solve for x
    x = 2,079,395,510.58/51,573
  6. Step 6: Final answer
    x = 40,319.46

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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.