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Finding the Fourth Proportional to 83,091.96, 114,667.20 and 45,366.84

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Solution

The fourth proportional to 83,091.96, 114,667.20 and 45,366.84 is: 62,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,091.96 : 114,667.20 = 45,366.84 : x
  2. Step 2: Convert to fraction form
    83,091.96/114,667.20 = 45,366.84/x
  3. Step 3: Cross multiply
    83,091.96x = 114,667.20 × 45,366.84
  4. Step 4: Simplify right side
    83,091.96x = 5,202,088,515.65
  5. Step 5: Solve for x
    x = 5,202,088,515.65/83,091.96
  6. Step 6: Final answer
    x = 62,606.40

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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.