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Finding the Fourth Proportional to 49,636.78, 68,471 and 30,503.24

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Solution

The fourth proportional to 49,636.78, 68,471 and 30,503.24 is: 42,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,636.78 : 68,471 = 30,503.24 : x
  2. Step 2: Convert to fraction form
    49,636.78/68,471 = 30,503.24/x
  3. Step 3: Cross multiply
    49,636.78x = 68,471 × 30,503.24
  4. Step 4: Simplify right side
    49,636.78x = 2,088,587,346.04
  5. Step 5: Solve for x
    x = 2,088,587,346.04/49,636.78
  6. Step 6: Final answer
    x = 42,077.41

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