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Finding the Fourth Proportional to 77,517, 106,956.90 and 45,674.28

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Solution

The fourth proportional to 77,517, 106,956.90 and 45,674.28 is: 63,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,517 : 106,956.90 = 45,674.28 : x
  2. Step 2: Convert to fraction form
    77,517/106,956.90 = 45,674.28/x
  3. Step 3: Cross multiply
    77,517x = 106,956.90 × 45,674.28
  4. Step 4: Simplify right side
    77,517x = 4,885,179,398.53
  5. Step 5: Solve for x
    x = 4,885,179,398.53/77,517
  6. Step 6: Final answer
    x = 63,020.75

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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.