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Finding the Fourth Proportional to 49,751.63, 74,628.02 and 21,284.71

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Solution

The fourth proportional to 49,751.63, 74,628.02 and 21,284.71 is: 31,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,751.63 : 74,628.02 = 21,284.71 : x
  2. Step 2: Convert to fraction form
    49,751.63/74,628.02 = 21,284.71/x
  3. Step 3: Cross multiply
    49,751.63x = 74,628.02 × 21,284.71
  4. Step 4: Simplify right side
    49,751.63x = 1,588,435,763.57
  5. Step 5: Solve for x
    x = 1,588,435,763.57/49,751.63
  6. Step 6: Final answer
    x = 31,927.31

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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.