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Finding the Fourth Proportional to 55,264.42, 82,902.06 and 21,977.02

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Solution

The fourth proportional to 55,264.42, 82,902.06 and 21,977.02 is: 32,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,264.42 : 82,902.06 = 21,977.02 : x
  2. Step 2: Convert to fraction form
    55,264.42/82,902.06 = 21,977.02/x
  3. Step 3: Cross multiply
    55,264.42x = 82,902.06 × 21,977.02
  4. Step 4: Simplify right side
    55,264.42x = 1,821,940,230.66
  5. Step 5: Solve for x
    x = 1,821,940,230.66/55,264.42
  6. Step 6: Final answer
    x = 32,967.69

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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.