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Finding the Fourth Proportional to 31,728.51, 47,589.12 and 8,354.34

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Solution

The fourth proportional to 31,728.51, 47,589.12 and 8,354.34 is: 12,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.51 : 47,589.12 = 8,354.34 : x
  2. Step 2: Convert to fraction form
    31,728.51/47,589.12 = 8,354.34/x
  3. Step 3: Cross multiply
    31,728.51x = 47,589.12 × 8,354.34
  4. Step 4: Simplify right side
    31,728.51x = 397,575,688.78
  5. Step 5: Solve for x
    x = 397,575,688.78/31,728.51
  6. Step 6: Final answer
    x = 12,530.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.