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Finding the Fourth Proportional to 117,418.84, 176,161.02 and 47,347

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Solution

The fourth proportional to 117,418.84, 176,161.02 and 47,347 is: 71,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,418.84 : 176,161.02 = 47,347 : x
  2. Step 2: Convert to fraction form
    117,418.84/176,161.02 = 47,347/x
  3. Step 3: Cross multiply
    117,418.84x = 176,161.02 × 47,347
  4. Step 4: Simplify right side
    117,418.84x = 8,340,695,813.94
  5. Step 5: Solve for x
    x = 8,340,695,813.94/117,418.84
  6. Step 6: Final answer
    x = 71,033.71

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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.