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Finding the Fourth Proportional to 31,755.34, 47,633.04 and 8,064.67

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Solution

The fourth proportional to 31,755.34, 47,633.04 and 8,064.67 is: 12,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.34 : 47,633.04 = 8,064.67 : x
  2. Step 2: Convert to fraction form
    31,755.34/47,633.04 = 8,064.67/x
  3. Step 3: Cross multiply
    31,755.34x = 47,633.04 × 8,064.67
  4. Step 4: Simplify right side
    31,755.34x = 384,144,748.70
  5. Step 5: Solve for x
    x = 384,144,748.70/31,755.34
  6. Step 6: Final answer
    x = 12,097.01

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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.