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Finding the Fourth Proportional to 40,892.94, 61,348.02 and 13,188.78

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Solution

The fourth proportional to 40,892.94, 61,348.02 and 13,188.78 is: 19,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,892.94 : 61,348.02 = 13,188.78 : x
  2. Step 2: Convert to fraction form
    40,892.94/61,348.02 = 13,188.78/x
  3. Step 3: Cross multiply
    40,892.94x = 61,348.02 × 13,188.78
  4. Step 4: Simplify right side
    40,892.94x = 809,105,539.22
  5. Step 5: Solve for x
    x = 809,105,539.22/40,892.94
  6. Step 6: Final answer
    x = 19,785.95

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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.