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Finding the Fourth Proportional to 83,452, 115,166.46 and 45,728.68

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Solution

The fourth proportional to 83,452, 115,166.46 and 45,728.68 is: 63,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,452 : 115,166.46 = 45,728.68 : x
  2. Step 2: Convert to fraction form
    83,452/115,166.46 = 45,728.68/x
  3. Step 3: Cross multiply
    83,452x = 115,166.46 × 45,728.68
  4. Step 4: Simplify right side
    83,452x = 5,266,410,196.07
  5. Step 5: Solve for x
    x = 5,266,410,196.07/83,452
  6. Step 6: Final answer
    x = 63,107.06

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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.