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Finding the Fourth Proportional to 83,164.50, 114,769.44 and 45,441.18

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Solution

The fourth proportional to 83,164.50, 114,769.44 and 45,441.18 is: 62,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,164.50 : 114,769.44 = 45,441.18 : x
  2. Step 2: Convert to fraction form
    83,164.50/114,769.44 = 45,441.18/x
  3. Step 3: Cross multiply
    83,164.50x = 114,769.44 × 45,441.18
  4. Step 4: Simplify right side
    83,164.50x = 5,215,258,781.54
  5. Step 5: Solve for x
    x = 5,215,258,781.54/83,164.50
  6. Step 6: Final answer
    x = 62,710.16

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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.