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Finding the Fourth Proportional to 31,955.40, 47,940.30 and 9,769.80

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Solution

The fourth proportional to 31,955.40, 47,940.30 and 9,769.80 is: 14,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,955.40 : 47,940.30 = 9,769.80 : x
  2. Step 2: Convert to fraction form
    31,955.40/47,940.30 = 9,769.80/x
  3. Step 3: Cross multiply
    31,955.40x = 47,940.30 × 9,769.80
  4. Step 4: Simplify right side
    31,955.40x = 468,367,142.94
  5. Step 5: Solve for x
    x = 468,367,142.94/31,955.40
  6. Step 6: Final answer
    x = 14,656.90

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1.5x scale

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.