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Finding the Fourth Proportional to 84,609.76, 116,708.50 and 54,434.36

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Solution

The fourth proportional to 84,609.76, 116,708.50 and 54,434.36 is: 75,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,609.76 : 116,708.50 = 54,434.36 : x
  2. Step 2: Convert to fraction form
    84,609.76/116,708.50 = 54,434.36/x
  3. Step 3: Cross multiply
    84,609.76x = 116,708.50 × 54,434.36
  4. Step 4: Simplify right side
    84,609.76x = 6,352,952,504.06
  5. Step 5: Solve for x
    x = 6,352,952,504.06/84,609.76
  6. Step 6: Final answer
    x = 75,085.34

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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.