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Finding the Fourth Proportional to 49,604.56, 74,313.04 and 38,456.64

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Solution

The fourth proportional to 49,604.56, 74,313.04 and 38,456.64 is: 57,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,604.56 : 74,313.04 = 38,456.64 : x
  2. Step 2: Convert to fraction form
    49,604.56/74,313.04 = 38,456.64/x
  3. Step 3: Cross multiply
    49,604.56x = 74,313.04 × 38,456.64
  4. Step 4: Simplify right side
    49,604.56x = 2,857,829,826.59
  5. Step 5: Solve for x
    x = 2,857,829,826.59/49,604.56
  6. Step 6: Final answer
    x = 57,612.24

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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.