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Finding the Fourth Proportional to 84,606.70, 116,754.70 and 46,365.78

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Solution

The fourth proportional to 84,606.70, 116,754.70 and 46,365.78 is: 63,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,606.70 : 116,754.70 = 46,365.78 : x
  2. Step 2: Convert to fraction form
    84,606.70/116,754.70 = 46,365.78/x
  3. Step 3: Cross multiply
    84,606.70x = 116,754.70 × 46,365.78
  4. Step 4: Simplify right side
    84,606.70x = 5,413,422,734.17
  5. Step 5: Solve for x
    x = 5,413,422,734.17/84,606.70
  6. Step 6: Final answer
    x = 63,983.38

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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.