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Finding the Fourth Proportional to 77,414.36, 106,841.70 and 45,586.22

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Solution

The fourth proportional to 77,414.36, 106,841.70 and 45,586.22 is: 62,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,414.36 : 106,841.70 = 45,586.22 : x
  2. Step 2: Convert to fraction form
    77,414.36/106,841.70 = 45,586.22/x
  3. Step 3: Cross multiply
    77,414.36x = 106,841.70 × 45,586.22
  4. Step 4: Simplify right side
    77,414.36x = 4,870,509,241.37
  5. Step 5: Solve for x
    x = 4,870,509,241.37/77,414.36
  6. Step 6: Final answer
    x = 62,914.80

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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.