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Finding the Fourth Proportional to 66,738.12, 92,097.76 and 36,523.08

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Solution

The fourth proportional to 66,738.12, 92,097.76 and 36,523.08 is: 50,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,738.12 : 92,097.76 = 36,523.08 : x
  2. Step 2: Convert to fraction form
    66,738.12/92,097.76 = 36,523.08/x
  3. Step 3: Cross multiply
    66,738.12x = 92,097.76 × 36,523.08
  4. Step 4: Simplify right side
    66,738.12x = 3,363,693,856.30
  5. Step 5: Solve for x
    x = 3,363,693,856.30/66,738.12
  6. Step 6: Final answer
    x = 50,401.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.