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Finding the Fourth Proportional to 52,821.97, 79,054.34 and 51,400.42

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Solution

The fourth proportional to 52,821.97, 79,054.34 and 51,400.42 is: 76,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,821.97 : 79,054.34 = 51,400.42 : x
  2. Step 2: Convert to fraction form
    52,821.97/79,054.34 = 51,400.42/x
  3. Step 3: Cross multiply
    52,821.97x = 79,054.34 × 51,400.42
  4. Step 4: Simplify right side
    52,821.97x = 4,063,425,883.55
  5. Step 5: Solve for x
    x = 4,063,425,883.55/52,821.97
  6. Step 6: Final answer
    x = 76,926.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.