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Finding the Fourth Proportional to 52,774.21, 79,216.89 and 51,584.14

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Solution

The fourth proportional to 52,774.21, 79,216.89 and 51,584.14 is: 77,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,774.21 : 79,216.89 = 51,584.14 : x
  2. Step 2: Convert to fraction form
    52,774.21/79,216.89 = 51,584.14/x
  3. Step 3: Cross multiply
    52,774.21x = 79,216.89 × 51,584.14
  4. Step 4: Simplify right side
    52,774.21x = 4,086,335,144.12
  5. Step 5: Solve for x
    x = 4,086,335,144.12/52,774.21
  6. Step 6: Final answer
    x = 77,430.53

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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.