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Finding the Fourth Proportional to 55,297.08, 82,898.64 and 25,732.08

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Solution

The fourth proportional to 55,297.08, 82,898.64 and 25,732.08 is: 38,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,297.08 : 82,898.64 = 25,732.08 : x
  2. Step 2: Convert to fraction form
    55,297.08/82,898.64 = 25,732.08/x
  3. Step 3: Cross multiply
    55,297.08x = 82,898.64 × 25,732.08
  4. Step 4: Simplify right side
    55,297.08x = 2,133,154,436.37
  5. Step 5: Solve for x
    x = 2,133,154,436.37/55,297.08
  6. Step 6: Final answer
    x = 38,576.26

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Why These Related Problems?

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