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Finding the Fourth Proportional to 117,690.50, 176,535.75 and 34,584.50

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Solution

The fourth proportional to 117,690.50, 176,535.75 and 34,584.50 is: 51,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,690.50 : 176,535.75 = 34,584.50 : x
  2. Step 2: Convert to fraction form
    117,690.50/176,535.75 = 34,584.50/x
  3. Step 3: Cross multiply
    117,690.50x = 176,535.75 × 34,584.50
  4. Step 4: Simplify right side
    117,690.50x = 6,105,400,645.88
  5. Step 5: Solve for x
    x = 6,105,400,645.88/117,690.50
  6. Step 6: Final answer
    x = 51,876.75

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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.