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Finding the Fourth Proportional to 84,433.63, 126,694.09 and 37,082

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Solution

The fourth proportional to 84,433.63, 126,694.09 and 37,082 is: 55,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,433.63 : 126,694.09 = 37,082 : x
  2. Step 2: Convert to fraction form
    84,433.63/126,694.09 = 37,082/x
  3. Step 3: Cross multiply
    84,433.63x = 126,694.09 × 37,082
  4. Step 4: Simplify right side
    84,433.63x = 4,698,070,245.38
  5. Step 5: Solve for x
    x = 4,698,070,245.38/84,433.63
  6. Step 6: Final answer
    x = 55,642.17

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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.