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Finding the Fourth Proportional to 86,945.71, 119,983.28 and 47,201.71

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Solution

The fourth proportional to 86,945.71, 119,983.28 and 47,201.71 is: 65,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,945.71 : 119,983.28 = 47,201.71 : x
  2. Step 2: Convert to fraction form
    86,945.71/119,983.28 = 47,201.71/x
  3. Step 3: Cross multiply
    86,945.71x = 119,983.28 × 47,201.71
  4. Step 4: Simplify right side
    86,945.71x = 5,663,415,751.40
  5. Step 5: Solve for x
    x = 5,663,415,751.40/86,945.71
  6. Step 6: Final answer
    x = 65,137.38

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Why These Related Problems?

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