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Finding the Fourth Proportional to 30,105.96, 45,160.38 and 14,536.68

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Solution

The fourth proportional to 30,105.96, 45,160.38 and 14,536.68 is: 21,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.96 : 45,160.38 = 14,536.68 : x
  2. Step 2: Convert to fraction form
    30,105.96/45,160.38 = 14,536.68/x
  3. Step 3: Cross multiply
    30,105.96x = 45,160.38 × 14,536.68
  4. Step 4: Simplify right side
    30,105.96x = 656,481,992.74
  5. Step 5: Solve for x
    x = 656,481,992.74/30,105.96
  6. Step 6: Final answer
    x = 21,805.72

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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.