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Finding the Fourth Proportional to 51,920.65, 71,650.77 and 29,259.99

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Solution

The fourth proportional to 51,920.65, 71,650.77 and 29,259.99 is: 40,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920.65 : 71,650.77 = 29,259.99 : x
  2. Step 2: Convert to fraction form
    51,920.65/71,650.77 = 29,259.99/x
  3. Step 3: Cross multiply
    51,920.65x = 71,650.77 × 29,259.99
  4. Step 4: Simplify right side
    51,920.65x = 2,096,500,813.69
  5. Step 5: Solve for x
    x = 2,096,500,813.69/51,920.65
  6. Step 6: Final answer
    x = 40,378.94

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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.