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Finding the Fourth Proportional to 55,321.64, 76,350.82 and 31,123.84

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Solution

The fourth proportional to 55,321.64, 76,350.82 and 31,123.84 is: 42,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,321.64 : 76,350.82 = 31,123.84 : x
  2. Step 2: Convert to fraction form
    55,321.64/76,350.82 = 31,123.84/x
  3. Step 3: Cross multiply
    55,321.64x = 76,350.82 × 31,123.84
  4. Step 4: Simplify right side
    55,321.64x = 2,376,330,705.55
  5. Step 5: Solve for x
    x = 2,376,330,705.55/55,321.64
  6. Step 6: Final answer
    x = 42,954.81

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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.