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Finding the Fourth Proportional to 31,968.86, 47,951.55 and 9,782.24

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Solution

The fourth proportional to 31,968.86, 47,951.55 and 9,782.24 is: 14,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968.86 : 47,951.55 = 9,782.24 : x
  2. Step 2: Convert to fraction form
    31,968.86/47,951.55 = 9,782.24/x
  3. Step 3: Cross multiply
    31,968.86x = 47,951.55 × 9,782.24
  4. Step 4: Simplify right side
    31,968.86x = 469,073,330.71
  5. Step 5: Solve for x
    x = 469,073,330.71/31,968.86
  6. Step 6: Final answer
    x = 14,672.82

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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.