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Finding the Fourth Proportional to 83,073.64, 114,668.96 and 66,109

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Solution

The fourth proportional to 83,073.64, 114,668.96 and 66,109 is: 91,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073.64 : 114,668.96 = 66,109 : x
  2. Step 2: Convert to fraction form
    83,073.64/114,668.96 = 66,109/x
  3. Step 3: Cross multiply
    83,073.64x = 114,668.96 × 66,109
  4. Step 4: Simplify right side
    83,073.64x = 7,580,650,276.64
  5. Step 5: Solve for x
    x = 7,580,650,276.64/83,073.64
  6. Step 6: Final answer
    x = 91,252.17

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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.