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Finding the Fourth Proportional to 52,059.84, 78,089.09 and 12,617.30

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Solution

The fourth proportional to 52,059.84, 78,089.09 and 12,617.30 is: 18,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,059.84 : 78,089.09 = 12,617.30 : x
  2. Step 2: Convert to fraction form
    52,059.84/78,089.09 = 12,617.30/x
  3. Step 3: Cross multiply
    52,059.84x = 78,089.09 × 12,617.30
  4. Step 4: Simplify right side
    52,059.84x = 985,273,021.73
  5. Step 5: Solve for x
    x = 985,273,021.73/52,059.84
  6. Step 6: Final answer
    x = 18,925.78

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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.