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Finding the Fourth Proportional to 84,751.59, 116,979.89 and 52,901.31

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Solution

The fourth proportional to 84,751.59, 116,979.89 and 52,901.31 is: 73,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,751.59 : 116,979.89 = 52,901.31 : x
  2. Step 2: Convert to fraction form
    84,751.59/116,979.89 = 52,901.31/x
  3. Step 3: Cross multiply
    84,751.59x = 116,979.89 × 52,901.31
  4. Step 4: Simplify right side
    84,751.59x = 6,188,389,160.15
  5. Step 5: Solve for x
    x = 6,188,389,160.15/84,751.59
  6. Step 6: Final answer
    x = 73,017.97

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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.