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Finding the Fourth Proportional to 83,272.24, 114,963.24 and 55,059.76

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Solution

The fourth proportional to 83,272.24, 114,963.24 and 55,059.76 is: 76,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,272.24 : 114,963.24 = 55,059.76 : x
  2. Step 2: Convert to fraction form
    83,272.24/114,963.24 = 55,059.76/x
  3. Step 3: Cross multiply
    83,272.24x = 114,963.24 × 55,059.76
  4. Step 4: Simplify right side
    83,272.24x = 6,329,848,403.22
  5. Step 5: Solve for x
    x = 6,329,848,403.22/83,272.24
  6. Step 6: Final answer
    x = 76,013.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.