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Finding the Fourth Proportional to 49,749.63, 74,625.02 and 21,282.71

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Solution

The fourth proportional to 49,749.63, 74,625.02 and 21,282.71 is: 31,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,749.63 : 74,625.02 = 21,282.71 : x
  2. Step 2: Convert to fraction form
    49,749.63/74,625.02 = 21,282.71/x
  3. Step 3: Cross multiply
    49,749.63x = 74,625.02 × 21,282.71
  4. Step 4: Simplify right side
    49,749.63x = 1,588,222,179.87
  5. Step 5: Solve for x
    x = 1,588,222,179.87/49,749.63
  6. Step 6: Final answer
    x = 31,924.30

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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.