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Finding the Fourth Proportional to 51,329, 70,834.02 and 27,777

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Solution

The fourth proportional to 51,329, 70,834.02 and 27,777 is: 38,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,329 : 70,834.02 = 27,777 : x
  2. Step 2: Convert to fraction form
    51,329/70,834.02 = 27,777/x
  3. Step 3: Cross multiply
    51,329x = 70,834.02 × 27,777
  4. Step 4: Simplify right side
    51,329x = 1,967,556,573.54
  5. Step 5: Solve for x
    x = 1,967,556,573.54/51,329
  6. Step 6: Final answer
    x = 38,332.26

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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.