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Finding the Fourth Proportional to 83,706.75, 115,515.32 and 45,981

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Solution

The fourth proportional to 83,706.75, 115,515.32 and 45,981 is: 63,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,706.75 : 115,515.32 = 45,981 : x
  2. Step 2: Convert to fraction form
    83,706.75/115,515.32 = 45,981/x
  3. Step 3: Cross multiply
    83,706.75x = 115,515.32 × 45,981
  4. Step 4: Simplify right side
    83,706.75x = 5,311,509,699.02
  5. Step 5: Solve for x
    x = 5,311,509,699.02/83,706.75
  6. Step 6: Final answer
    x = 63,453.78

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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.