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Finding the Fourth Proportional to 51,821.76, 71,514.02 and 29,465.76

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Solution

The fourth proportional to 51,821.76, 71,514.02 and 29,465.76 is: 40,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,821.76 : 71,514.02 = 29,465.76 : x
  2. Step 2: Convert to fraction form
    51,821.76/71,514.02 = 29,465.76/x
  3. Step 3: Cross multiply
    51,821.76x = 71,514.02 × 29,465.76
  4. Step 4: Simplify right side
    51,821.76x = 2,107,214,949.96
  5. Step 5: Solve for x
    x = 2,107,214,949.96/51,821.76
  6. Step 6: Final answer
    x = 40,662.74

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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.