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Finding the Fourth Proportional to 31,695.38, 47,543.07 and 8,321.78

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Solution

The fourth proportional to 31,695.38, 47,543.07 and 8,321.78 is: 12,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695.38 : 47,543.07 = 8,321.78 : x
  2. Step 2: Convert to fraction form
    31,695.38/47,543.07 = 8,321.78/x
  3. Step 3: Cross multiply
    31,695.38x = 47,543.07 × 8,321.78
  4. Step 4: Simplify right side
    31,695.38x = 395,642,969.06
  5. Step 5: Solve for x
    x = 395,642,969.06/31,695.38
  6. Step 6: Final answer
    x = 12,482.67

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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.