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Finding the Fourth Proportional to 54,873.83, 82,254.25 and 21,580.40

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Solution

The fourth proportional to 54,873.83, 82,254.25 and 21,580.40 is: 32,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,873.83 : 82,254.25 = 21,580.40 : x
  2. Step 2: Convert to fraction form
    54,873.83/82,254.25 = 21,580.40/x
  3. Step 3: Cross multiply
    54,873.83x = 82,254.25 × 21,580.40
  4. Step 4: Simplify right side
    54,873.83x = 1,775,079,616.70
  5. Step 5: Solve for x
    x = 1,775,079,616.70/54,873.83
  6. Step 6: Final answer
    x = 32,348.38

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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.