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Finding the Fourth Proportional to 51,105.06, 76,657.93 and 17,825

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Solution

The fourth proportional to 51,105.06, 76,657.93 and 17,825 is: 26,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105.06 : 76,657.93 = 17,825 : x
  2. Step 2: Convert to fraction form
    51,105.06/76,657.93 = 17,825/x
  3. Step 3: Cross multiply
    51,105.06x = 76,657.93 × 17,825
  4. Step 4: Simplify right side
    51,105.06x = 1,366,427,602.25
  5. Step 5: Solve for x
    x = 1,366,427,602.25/51,105.06
  6. Step 6: Final answer
    x = 26,737.62

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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.