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Finding the Fourth Proportional to 45,309.40, 67,964.10 and 33,645.40

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Solution

The fourth proportional to 45,309.40, 67,964.10 and 33,645.40 is: 50,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,309.40 : 67,964.10 = 33,645.40 : x
  2. Step 2: Convert to fraction form
    45,309.40/67,964.10 = 33,645.40/x
  3. Step 3: Cross multiply
    45,309.40x = 67,964.10 × 33,645.40
  4. Step 4: Simplify right side
    45,309.40x = 2,286,679,330.14
  5. Step 5: Solve for x
    x = 2,286,679,330.14/45,309.40
  6. Step 6: Final answer
    x = 50,468.10

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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.