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Finding the Fourth Proportional to 73,072.29, 109,619.90 and 30,952.49

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Solution

The fourth proportional to 73,072.29, 109,619.90 and 30,952.49 is: 46,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,072.29 : 109,619.90 = 30,952.49 : x
  2. Step 2: Convert to fraction form
    73,072.29/109,619.90 = 30,952.49/x
  3. Step 3: Cross multiply
    73,072.29x = 109,619.90 × 30,952.49
  4. Step 4: Simplify right side
    73,072.29x = 3,393,009,209.98
  5. Step 5: Solve for x
    x = 3,393,009,209.98/73,072.29
  6. Step 6: Final answer
    x = 46,433.60

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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.