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Finding the Fourth Proportional to 83,197.08, 114,801.60 and 47,382.54

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Solution

The fourth proportional to 83,197.08, 114,801.60 and 47,382.54 is: 65,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,197.08 : 114,801.60 = 47,382.54 : x
  2. Step 2: Convert to fraction form
    83,197.08/114,801.60 = 47,382.54/x
  3. Step 3: Cross multiply
    83,197.08x = 114,801.60 × 47,382.54
  4. Step 4: Simplify right side
    83,197.08x = 5,439,591,404.06
  5. Step 5: Solve for x
    x = 5,439,591,404.06/83,197.08
  6. Step 6: Final answer
    x = 65,382.00

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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.