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Finding the Fourth Proportional to 31,893.50, 47,846.32 and 9,709.12

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Solution

The fourth proportional to 31,893.50, 47,846.32 and 9,709.12 is: 14,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.50 : 47,846.32 = 9,709.12 : x
  2. Step 2: Convert to fraction form
    31,893.50/47,846.32 = 9,709.12/x
  3. Step 3: Cross multiply
    31,893.50x = 47,846.32 × 9,709.12
  4. Step 4: Simplify right side
    31,893.50x = 464,545,662.44
  5. Step 5: Solve for x
    x = 464,545,662.44/31,893.50
  6. Step 6: Final answer
    x = 14,565.53

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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.