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Finding the Fourth Proportional to 31,005.44, 46,508.19 and 7,631.88

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Solution

The fourth proportional to 31,005.44, 46,508.19 and 7,631.88 is: 11,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.44 : 46,508.19 = 7,631.88 : x
  2. Step 2: Convert to fraction form
    31,005.44/46,508.19 = 7,631.88/x
  3. Step 3: Cross multiply
    31,005.44x = 46,508.19 × 7,631.88
  4. Step 4: Simplify right side
    31,005.44x = 354,944,925.10
  5. Step 5: Solve for x
    x = 354,944,925.10/31,005.44
  6. Step 6: Final answer
    x = 11,447.83

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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.