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Finding the Fourth Proportional to 31,757.86, 47,636.99 and 9,571.15

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Solution

The fourth proportional to 31,757.86, 47,636.99 and 9,571.15 is: 14,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.86 : 47,636.99 = 9,571.15 : x
  2. Step 2: Convert to fraction form
    31,757.86/47,636.99 = 9,571.15/x
  3. Step 3: Cross multiply
    31,757.86x = 47,636.99 × 9,571.15
  4. Step 4: Simplify right side
    31,757.86x = 455,940,776.84
  5. Step 5: Solve for x
    x = 455,940,776.84/31,757.86
  6. Step 6: Final answer
    x = 14,356.79

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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.