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Finding the Fourth Proportional to 51,812.68, 77,834.22 and 50,430.28

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Solution

The fourth proportional to 51,812.68, 77,834.22 and 50,430.28 is: 75,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.68 : 77,834.22 = 50,430.28 : x
  2. Step 2: Convert to fraction form
    51,812.68/77,834.22 = 50,430.28/x
  3. Step 3: Cross multiply
    51,812.68x = 77,834.22 × 50,430.28
  4. Step 4: Simplify right side
    51,812.68x = 3,925,200,866.86
  5. Step 5: Solve for x
    x = 3,925,200,866.86/51,812.68
  6. Step 6: Final answer
    x = 75,757.54

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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.