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Finding the Fourth Proportional to 55,288.49, 76,298.36 and 31,416.44

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Solution

The fourth proportional to 55,288.49, 76,298.36 and 31,416.44 is: 43,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,288.49 : 76,298.36 = 31,416.44 : x
  2. Step 2: Convert to fraction form
    55,288.49/76,298.36 = 31,416.44/x
  3. Step 3: Cross multiply
    55,288.49x = 76,298.36 × 31,416.44
  4. Step 4: Simplify right side
    55,288.49x = 2,397,022,310.46
  5. Step 5: Solve for x
    x = 2,397,022,310.46/55,288.49
  6. Step 6: Final answer
    x = 43,354.82

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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.