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Finding the Fourth Proportional to 77,324.32, 106,705.82 and 45,056.94

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Solution

The fourth proportional to 77,324.32, 106,705.82 and 45,056.94 is: 62,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.32 : 106,705.82 = 45,056.94 : x
  2. Step 2: Convert to fraction form
    77,324.32/106,705.82 = 45,056.94/x
  3. Step 3: Cross multiply
    77,324.32x = 106,705.82 × 45,056.94
  4. Step 4: Simplify right side
    77,324.32x = 4,807,837,729.39
  5. Step 5: Solve for x
    x = 4,807,837,729.39/77,324.32
  6. Step 6: Final answer
    x = 62,177.56

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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.