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Finding the Fourth Proportional to 30,976.68, 46,426.92 and 14,314.20

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Solution

The fourth proportional to 30,976.68, 46,426.92 and 14,314.20 is: 21,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976.68 : 46,426.92 = 14,314.20 : x
  2. Step 2: Convert to fraction form
    30,976.68/46,426.92 = 14,314.20/x
  3. Step 3: Cross multiply
    30,976.68x = 46,426.92 × 14,314.20
  4. Step 4: Simplify right side
    30,976.68x = 664,564,218.26
  5. Step 5: Solve for x
    x = 664,564,218.26/30,976.68
  6. Step 6: Final answer
    x = 21,453.69

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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.