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Finding the Fourth Proportional to 82,099.97, 122,954.47 and 52,425.89

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Solution

The fourth proportional to 82,099.97, 122,954.47 and 52,425.89 is: 78,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,099.97 : 122,954.47 = 52,425.89 : x
  2. Step 2: Convert to fraction form
    82,099.97/122,954.47 = 52,425.89/x
  3. Step 3: Cross multiply
    82,099.97x = 122,954.47 × 52,425.89
  4. Step 4: Simplify right side
    82,099.97x = 6,445,996,773.39
  5. Step 5: Solve for x
    x = 6,445,996,773.39/82,099.97
  6. Step 6: Final answer
    x = 78,514.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.