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Finding the Fourth Proportional to 42,097.70, 63,146 and 12,112.72

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Solution

The fourth proportional to 42,097.70, 63,146 and 12,112.72 is: 18,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,097.70 : 63,146 = 12,112.72 : x
  2. Step 2: Convert to fraction form
    42,097.70/63,146 = 12,112.72/x
  3. Step 3: Cross multiply
    42,097.70x = 63,146 × 12,112.72
  4. Step 4: Simplify right side
    42,097.70x = 764,869,817.12
  5. Step 5: Solve for x
    x = 764,869,817.12/42,097.70
  6. Step 6: Final answer
    x = 18,168.92

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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.