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Finding the Fourth Proportional to 55,101.16, 82,618.89 and 21,826

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Solution

The fourth proportional to 55,101.16, 82,618.89 and 21,826 is: 32,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,101.16 : 82,618.89 = 21,826 : x
  2. Step 2: Convert to fraction form
    55,101.16/82,618.89 = 21,826/x
  3. Step 3: Cross multiply
    55,101.16x = 82,618.89 × 21,826
  4. Step 4: Simplify right side
    55,101.16x = 1,803,239,893.14
  5. Step 5: Solve for x
    x = 1,803,239,893.14/55,101.16
  6. Step 6: Final answer
    x = 32,725.99

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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.