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Finding the Fourth Proportional to 30,278.12, 45,351.54 and 14,663

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Solution

The fourth proportional to 30,278.12, 45,351.54 and 14,663 is: 21,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.12 : 45,351.54 = 14,663 : x
  2. Step 2: Convert to fraction form
    30,278.12/45,351.54 = 14,663/x
  3. Step 3: Cross multiply
    30,278.12x = 45,351.54 × 14,663
  4. Step 4: Simplify right side
    30,278.12x = 664,989,631.02
  5. Step 5: Solve for x
    x = 664,989,631.02/30,278.12
  6. Step 6: Final answer
    x = 21,962.71

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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.