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Finding the Fourth Proportional to 117,672.75, 176,509.13 and 34,566.75

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Solution

The fourth proportional to 117,672.75, 176,509.13 and 34,566.75 is: 51,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,672.75 : 176,509.13 = 34,566.75 : x
  2. Step 2: Convert to fraction form
    117,672.75/176,509.13 = 34,566.75/x
  3. Step 3: Cross multiply
    117,672.75x = 176,509.13 × 34,566.75
  4. Step 4: Simplify right side
    117,672.75x = 6,101,346,796.59
  5. Step 5: Solve for x
    x = 6,101,346,796.59/117,672.75
  6. Step 6: Final answer
    x = 51,850.13

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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.