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Finding the Fourth Proportional to 73,034.50, 109,551.76 and 23,786.50

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Solution

The fourth proportional to 73,034.50, 109,551.76 and 23,786.50 is: 35,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,034.50 : 109,551.76 = 23,786.50 : x
  2. Step 2: Convert to fraction form
    73,034.50/109,551.76 = 23,786.50/x
  3. Step 3: Cross multiply
    73,034.50x = 109,551.76 × 23,786.50
  4. Step 4: Simplify right side
    73,034.50x = 2,605,852,939.24
  5. Step 5: Solve for x
    x = 2,605,852,939.24/73,034.50
  6. Step 6: Final answer
    x = 35,679.75

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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.