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Finding the Fourth Proportional to 195,696.50, 293,544.75 and 47,952.50

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Solution

The fourth proportional to 195,696.50, 293,544.75 and 47,952.50 is: 71,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,696.50 : 293,544.75 = 47,952.50 : x
  2. Step 2: Convert to fraction form
    195,696.50/293,544.75 = 47,952.50/x
  3. Step 3: Cross multiply
    195,696.50x = 293,544.75 × 47,952.50
  4. Step 4: Simplify right side
    195,696.50x = 14,076,204,624.38
  5. Step 5: Solve for x
    x = 14,076,204,624.38/195,696.50
  6. Step 6: Final answer
    x = 71,928.75

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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.