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Finding the Fourth Proportional to 30,206.88, 45,290.28 and 14,414.34

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Solution

The fourth proportional to 30,206.88, 45,290.28 and 14,414.34 is: 21,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.88 : 45,290.28 = 14,414.34 : x
  2. Step 2: Convert to fraction form
    30,206.88/45,290.28 = 14,414.34/x
  3. Step 3: Cross multiply
    30,206.88x = 45,290.28 × 14,414.34
  4. Step 4: Simplify right side
    30,206.88x = 652,829,494.62
  5. Step 5: Solve for x
    x = 652,829,494.62/30,206.88
  6. Step 6: Final answer
    x = 21,611.95

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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.