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Finding the Fourth Proportional to 55,045.84, 75,965.04 and 31,172

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Solution

The fourth proportional to 55,045.84, 75,965.04 and 31,172 is: 43,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,045.84 : 75,965.04 = 31,172 : x
  2. Step 2: Convert to fraction form
    55,045.84/75,965.04 = 31,172/x
  3. Step 3: Cross multiply
    55,045.84x = 75,965.04 × 31,172
  4. Step 4: Simplify right side
    55,045.84x = 2,367,982,226.88
  5. Step 5: Solve for x
    x = 2,367,982,226.88/55,045.84
  6. Step 6: Final answer
    x = 43,018.37

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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.