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Finding the Fourth Proportional to 77,491.85, 106,943.51 and 51,606

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Solution

The fourth proportional to 77,491.85, 106,943.51 and 51,606 is: 71,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,491.85 : 106,943.51 = 51,606 : x
  2. Step 2: Convert to fraction form
    77,491.85/106,943.51 = 51,606/x
  3. Step 3: Cross multiply
    77,491.85x = 106,943.51 × 51,606
  4. Step 4: Simplify right side
    77,491.85x = 5,518,926,906.08
  5. Step 5: Solve for x
    x = 5,518,926,906.08/77,491.85
  6. Step 6: Final answer
    x = 71,219.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.