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Finding the Fourth Proportional to 51,676.48, 71,301.36 and 29,320.48

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Solution

The fourth proportional to 51,676.48, 71,301.36 and 29,320.48 is: 40,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,676.48 : 71,301.36 = 29,320.48 : x
  2. Step 2: Convert to fraction form
    51,676.48/71,301.36 = 29,320.48/x
  3. Step 3: Cross multiply
    51,676.48x = 71,301.36 × 29,320.48
  4. Step 4: Simplify right side
    51,676.48x = 2,090,590,099.85
  5. Step 5: Solve for x
    x = 2,090,590,099.85/51,676.48
  6. Step 6: Final answer
    x = 40,455.35

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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.