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Finding the Fourth Proportional to 49,444.71, 74,145.20 and 17,842.56

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Solution

The fourth proportional to 49,444.71, 74,145.20 and 17,842.56 is: 26,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,444.71 : 74,145.20 = 17,842.56 : x
  2. Step 2: Convert to fraction form
    49,444.71/74,145.20 = 17,842.56/x
  3. Step 3: Cross multiply
    49,444.71x = 74,145.20 × 17,842.56
  4. Step 4: Simplify right side
    49,444.71x = 1,322,940,090.50
  5. Step 5: Solve for x
    x = 1,322,940,090.50/49,444.71
  6. Step 6: Final answer
    x = 26,755.95

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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.