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Finding the Fourth Proportional to 31,773.57, 47,661.59 and 9,586.94

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Solution

The fourth proportional to 31,773.57, 47,661.59 and 9,586.94 is: 14,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.57 : 47,661.59 = 9,586.94 : x
  2. Step 2: Convert to fraction form
    31,773.57/47,661.59 = 9,586.94/x
  3. Step 3: Cross multiply
    31,773.57x = 47,661.59 × 9,586.94
  4. Step 4: Simplify right side
    31,773.57x = 456,929,031.50
  5. Step 5: Solve for x
    x = 456,929,031.50/31,773.57
  6. Step 6: Final answer
    x = 14,380.79

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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.