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Finding the Fourth Proportional to 31,007.68, 46,511.12 and 7,634.32

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Solution

The fourth proportional to 31,007.68, 46,511.12 and 7,634.32 is: 11,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.68 : 46,511.12 = 7,634.32 : x
  2. Step 2: Convert to fraction form
    31,007.68/46,511.12 = 7,634.32/x
  3. Step 3: Cross multiply
    31,007.68x = 46,511.12 × 7,634.32
  4. Step 4: Simplify right side
    31,007.68x = 355,080,773.64
  5. Step 5: Solve for x
    x = 355,080,773.64/31,007.68
  6. Step 6: Final answer
    x = 11,451.38

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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.