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Finding the Fourth Proportional to 73,294.49, 109,955.41 and 33,316.34

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Solution

The fourth proportional to 73,294.49, 109,955.41 and 33,316.34 is: 49,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,294.49 : 109,955.41 = 33,316.34 : x
  2. Step 2: Convert to fraction form
    73,294.49/109,955.41 = 33,316.34/x
  3. Step 3: Cross multiply
    73,294.49x = 109,955.41 × 33,316.34
  4. Step 4: Simplify right side
    73,294.49x = 3,663,311,191.33
  5. Step 5: Solve for x
    x = 3,663,311,191.33/73,294.49
  6. Step 6: Final answer
    x = 49,980.72

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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.