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Finding the Fourth Proportional to 38,652.11, 53,447.28 and 30,680.50

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Solution

The fourth proportional to 38,652.11, 53,447.28 and 30,680.50 is: 42,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,652.11 : 53,447.28 = 30,680.50 : x
  2. Step 2: Convert to fraction form
    38,652.11/53,447.28 = 30,680.50/x
  3. Step 3: Cross multiply
    38,652.11x = 53,447.28 × 30,680.50
  4. Step 4: Simplify right side
    38,652.11x = 1,639,789,006.80
  5. Step 5: Solve for x
    x = 1,639,789,006.80/38,652.11
  6. Step 6: Final answer
    x = 42,424.31

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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.