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Finding the Fourth Proportional to 30,998.18, 46,496.87 and 7,624.82

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Solution

The fourth proportional to 30,998.18, 46,496.87 and 7,624.82 is: 11,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.18 : 46,496.87 = 7,624.82 : x
  2. Step 2: Convert to fraction form
    30,998.18/46,496.87 = 7,624.82/x
  3. Step 3: Cross multiply
    30,998.18x = 46,496.87 × 7,624.82
  4. Step 4: Simplify right side
    30,998.18x = 354,530,264.31
  5. Step 5: Solve for x
    x = 354,530,264.31/30,998.18
  6. Step 6: Final answer
    x = 11,437.13

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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.