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Finding the Fourth Proportional to 31,968.40, 47,959.80 and 9,782.80

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Solution

The fourth proportional to 31,968.40, 47,959.80 and 9,782.80 is: 14,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968.40 : 47,959.80 = 9,782.80 : x
  2. Step 2: Convert to fraction form
    31,968.40/47,959.80 = 9,782.80/x
  3. Step 3: Cross multiply
    31,968.40x = 47,959.80 × 9,782.80
  4. Step 4: Simplify right side
    31,968.40x = 469,181,131.44
  5. Step 5: Solve for x
    x = 469,181,131.44/31,968.40
  6. Step 6: Final answer
    x = 14,676.40

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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.