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Finding the Fourth Proportional to 54,429.76, 81,676.16 and 22,837

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Solution

The fourth proportional to 54,429.76, 81,676.16 and 22,837 is: 34,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,429.76 : 81,676.16 = 22,837 : x
  2. Step 2: Convert to fraction form
    54,429.76/81,676.16 = 22,837/x
  3. Step 3: Cross multiply
    54,429.76x = 81,676.16 × 22,837
  4. Step 4: Simplify right side
    54,429.76x = 1,865,238,465.92
  5. Step 5: Solve for x
    x = 1,865,238,465.92/54,429.76
  6. Step 6: Final answer
    x = 34,268.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.