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Finding the Fourth Proportional to 82,584.30, 114,013.62 and 54,372

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Solution

The fourth proportional to 82,584.30, 114,013.62 and 54,372 is: 75,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,584.30 : 114,013.62 = 54,372 : x
  2. Step 2: Convert to fraction form
    82,584.30/114,013.62 = 54,372/x
  3. Step 3: Cross multiply
    82,584.30x = 114,013.62 × 54,372
  4. Step 4: Simplify right side
    82,584.30x = 6,199,148,546.64
  5. Step 5: Solve for x
    x = 6,199,148,546.64/82,584.30
  6. Step 6: Final answer
    x = 75,064.49

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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.