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Finding the Fourth Proportional to 51,517.94, 77,287.98 and 15,978.50

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Solution

The fourth proportional to 51,517.94, 77,287.98 and 15,978.50 is: 23,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,517.94 : 77,287.98 = 15,978.50 : x
  2. Step 2: Convert to fraction form
    51,517.94/77,287.98 = 15,978.50/x
  3. Step 3: Cross multiply
    51,517.94x = 77,287.98 × 15,978.50
  4. Step 4: Simplify right side
    51,517.94x = 1,234,945,988.43
  5. Step 5: Solve for x
    x = 1,234,945,988.43/51,517.94
  6. Step 6: Final answer
    x = 23,971.18

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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.