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Finding the Fourth Proportional to 30,981.68, 46,434.44 and 14,319.18

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Solution

The fourth proportional to 30,981.68, 46,434.44 and 14,319.18 is: 21,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.68 : 46,434.44 = 14,319.18 : x
  2. Step 2: Convert to fraction form
    30,981.68/46,434.44 = 14,319.18/x
  3. Step 3: Cross multiply
    30,981.68x = 46,434.44 × 14,319.18
  4. Step 4: Simplify right side
    30,981.68x = 664,903,104.56
  5. Step 5: Solve for x
    x = 664,903,104.56/30,981.68
  6. Step 6: Final answer
    x = 21,461.17

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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.