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Finding the Fourth Proportional to 67,784.80, 101,774.40 and 51,260.80

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Solution

The fourth proportional to 67,784.80, 101,774.40 and 51,260.80 is: 76,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,784.80 : 101,774.40 = 51,260.80 : x
  2. Step 2: Convert to fraction form
    67,784.80/101,774.40 = 51,260.80/x
  3. Step 3: Cross multiply
    67,784.80x = 101,774.40 × 51,260.80
  4. Step 4: Simplify right side
    67,784.80x = 5,217,037,163.52
  5. Step 5: Solve for x
    x = 5,217,037,163.52/67,784.80
  6. Step 6: Final answer
    x = 76,964.71

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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.