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Finding the Fourth Proportional to 81,922.69, 122,931.80 and 34,534.89

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Solution

The fourth proportional to 81,922.69, 122,931.80 and 34,534.89 is: 51,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,922.69 : 122,931.80 = 34,534.89 : x
  2. Step 2: Convert to fraction form
    81,922.69/122,931.80 = 34,534.89/x
  3. Step 3: Cross multiply
    81,922.69x = 122,931.80 × 34,534.89
  4. Step 4: Simplify right side
    81,922.69x = 4,245,436,190.50
  5. Step 5: Solve for x
    x = 4,245,436,190.50/81,922.69
  6. Step 6: Final answer
    x = 51,822.47

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