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Finding the Fourth Proportional to 50,905.26, 70,222.14 and 29,676.78

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Solution

The fourth proportional to 50,905.26, 70,222.14 and 29,676.78 is: 40,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,905.26 : 70,222.14 = 29,676.78 : x
  2. Step 2: Convert to fraction form
    50,905.26/70,222.14 = 29,676.78/x
  3. Step 3: Cross multiply
    50,905.26x = 70,222.14 × 29,676.78
  4. Step 4: Simplify right side
    50,905.26x = 2,083,966,999.91
  5. Step 5: Solve for x
    x = 2,083,966,999.91/50,905.26
  6. Step 6: Final answer
    x = 40,938.15

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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.