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Finding the Fourth Proportional to 84,705.30, 116,914.59 and 57,527.38

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Solution

The fourth proportional to 84,705.30, 116,914.59 and 57,527.38 is: 79,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,705.30 : 116,914.59 = 57,527.38 : x
  2. Step 2: Convert to fraction form
    84,705.30/116,914.59 = 57,527.38/x
  3. Step 3: Cross multiply
    84,705.30x = 116,914.59 × 57,527.38
  4. Step 4: Simplify right side
    84,705.30x = 6,725,790,046.47
  5. Step 5: Solve for x
    x = 6,725,790,046.47/84,705.30
  6. Step 6: Final answer
    x = 79,402.23

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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.