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Finding the Fourth Proportional to 73,180.16, 109,770.24 and 17,776

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Solution

The fourth proportional to 73,180.16, 109,770.24 and 17,776 is: 26,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,180.16 : 109,770.24 = 17,776 : x
  2. Step 2: Convert to fraction form
    73,180.16/109,770.24 = 17,776/x
  3. Step 3: Cross multiply
    73,180.16x = 109,770.24 × 17,776
  4. Step 4: Simplify right side
    73,180.16x = 1,951,275,786.24
  5. Step 5: Solve for x
    x = 1,951,275,786.24/73,180.16
  6. Step 6: Final answer
    x = 26,664

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.