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Finding the Fourth Proportional to 30,998.68, 46,497.62 and 7,625.32

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Solution

The fourth proportional to 30,998.68, 46,497.62 and 7,625.32 is: 11,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.68 : 46,497.62 = 7,625.32 : x
  2. Step 2: Convert to fraction form
    30,998.68/46,497.62 = 7,625.32/x
  3. Step 3: Cross multiply
    30,998.68x = 46,497.62 × 7,625.32
  4. Step 4: Simplify right side
    30,998.68x = 354,559,231.74
  5. Step 5: Solve for x
    x = 354,559,231.74/30,998.68
  6. Step 6: Final answer
    x = 11,437.88

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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.