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Finding the Fourth Proportional to 51,674.84, 77,510.22 and 14,738.84

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Solution

The fourth proportional to 51,674.84, 77,510.22 and 14,738.84 is: 22,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,674.84 : 77,510.22 = 14,738.84 : x
  2. Step 2: Convert to fraction form
    51,674.84/77,510.22 = 14,738.84/x
  3. Step 3: Cross multiply
    51,674.84x = 77,510.22 × 14,738.84
  4. Step 4: Simplify right side
    51,674.84x = 1,142,410,730.94
  5. Step 5: Solve for x
    x = 1,142,410,730.94/51,674.84
  6. Step 6: Final answer
    x = 22,107.68

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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.