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Finding the Fourth Proportional to 30,982.68, 46,435.95 and 14,320.17

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Solution

The fourth proportional to 30,982.68, 46,435.95 and 14,320.17 is: 21,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.68 : 46,435.95 = 14,320.17 : x
  2. Step 2: Convert to fraction form
    30,982.68/46,435.95 = 14,320.17/x
  3. Step 3: Cross multiply
    30,982.68x = 46,435.95 × 14,320.17
  4. Step 4: Simplify right side
    30,982.68x = 664,970,698.11
  5. Step 5: Solve for x
    x = 664,970,698.11/30,982.68
  6. Step 6: Final answer
    x = 21,462.66

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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.