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Finding the Fourth Proportional to 85,283.97, 127,759.71 and 51,921.28

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Solution

The fourth proportional to 85,283.97, 127,759.71 and 51,921.28 is: 77,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,283.97 : 127,759.71 = 51,921.28 : x
  2. Step 2: Convert to fraction form
    85,283.97/127,759.71 = 51,921.28/x
  3. Step 3: Cross multiply
    85,283.97x = 127,759.71 × 51,921.28
  4. Step 4: Simplify right side
    85,283.97x = 6,633,447,675.63
  5. Step 5: Solve for x
    x = 6,633,447,675.63/85,283.97
  6. Step 6: Final answer
    x = 77,780.71

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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.