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Finding the Fourth Proportional to 30,276.12, 45,348.54 and 14,661

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Solution

The fourth proportional to 30,276.12, 45,348.54 and 14,661 is: 21,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.12 : 45,348.54 = 14,661 : x
  2. Step 2: Convert to fraction form
    30,276.12/45,348.54 = 14,661/x
  3. Step 3: Cross multiply
    30,276.12x = 45,348.54 × 14,661
  4. Step 4: Simplify right side
    30,276.12x = 664,854,944.94
  5. Step 5: Solve for x
    x = 664,854,944.94/30,276.12
  6. Step 6: Final answer
    x = 21,959.71

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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.