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Finding the Fourth Proportional to 73,966.50, 110,803.14 and 34,469.28

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Solution

The fourth proportional to 73,966.50, 110,803.14 and 34,469.28 is: 51,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,966.50 : 110,803.14 = 34,469.28 : x
  2. Step 2: Convert to fraction form
    73,966.50/110,803.14 = 34,469.28/x
  3. Step 3: Cross multiply
    73,966.50x = 110,803.14 × 34,469.28
  4. Step 4: Simplify right side
    73,966.50x = 3,819,304,457.54
  5. Step 5: Solve for x
    x = 3,819,304,457.54/73,966.50
  6. Step 6: Final answer
    x = 51,635.60

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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.