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Finding the Fourth Proportional to 31,354.46, 47,036.10 and 9,169.50

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Solution

The fourth proportional to 31,354.46, 47,036.10 and 9,169.50 is: 13,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.46 : 47,036.10 = 9,169.50 : x
  2. Step 2: Convert to fraction form
    31,354.46/47,036.10 = 9,169.50/x
  3. Step 3: Cross multiply
    31,354.46x = 47,036.10 × 9,169.50
  4. Step 4: Simplify right side
    31,354.46x = 431,297,518.95
  5. Step 5: Solve for x
    x = 431,297,518.95/31,354.46
  6. Step 6: Final answer
    x = 13,755.54

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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.