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Finding the Fourth Proportional to 31,019.58, 46,529.50 and 9,672.56

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Solution

The fourth proportional to 31,019.58, 46,529.50 and 9,672.56 is: 14,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.58 : 46,529.50 = 9,672.56 : x
  2. Step 2: Convert to fraction form
    31,019.58/46,529.50 = 9,672.56/x
  3. Step 3: Cross multiply
    31,019.58x = 46,529.50 × 9,672.56
  4. Step 4: Simplify right side
    31,019.58x = 450,059,380.52
  5. Step 5: Solve for x
    x = 450,059,380.52/31,019.58
  6. Step 6: Final answer
    x = 14,508.88

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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.