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Finding the Fourth Proportional to 49,574.30, 74,361 and 12,134.54

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Solution

The fourth proportional to 49,574.30, 74,361 and 12,134.54 is: 18,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,574.30 : 74,361 = 12,134.54 : x
  2. Step 2: Convert to fraction form
    49,574.30/74,361 = 12,134.54/x
  3. Step 3: Cross multiply
    49,574.30x = 74,361 × 12,134.54
  4. Step 4: Simplify right side
    49,574.30x = 902,336,528.94
  5. Step 5: Solve for x
    x = 902,336,528.94/49,574.30
  6. Step 6: Final answer
    x = 18,201.70

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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.