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Finding the Fourth Proportional to 51,855.75, 77,783.76 and 35,174.52

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Solution

The fourth proportional to 51,855.75, 77,783.76 and 35,174.52 is: 52,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.75 : 77,783.76 = 35,174.52 : x
  2. Step 2: Convert to fraction form
    51,855.75/77,783.76 = 35,174.52/x
  3. Step 3: Cross multiply
    51,855.75x = 77,783.76 × 35,174.52
  4. Step 4: Simplify right side
    51,855.75x = 2,736,006,421.80
  5. Step 5: Solve for x
    x = 2,736,006,421.80/51,855.75
  6. Step 6: Final answer
    x = 52,761.87

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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.