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Finding the Fourth Proportional to 73,185.81, 109,777.20 and 23,266

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Solution

The fourth proportional to 73,185.81, 109,777.20 and 23,266 is: 34,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,185.81 : 109,777.20 = 23,266 : x
  2. Step 2: Convert to fraction form
    73,185.81/109,777.20 = 23,266/x
  3. Step 3: Cross multiply
    73,185.81x = 109,777.20 × 23,266
  4. Step 4: Simplify right side
    73,185.81x = 2,554,076,335.20
  5. Step 5: Solve for x
    x = 2,554,076,335.20/73,185.81
  6. Step 6: Final answer
    x = 34,898.52

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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.