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Finding the Fourth Proportional to 54,873.71, 82,254.06 and 21,580.28

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Solution

The fourth proportional to 54,873.71, 82,254.06 and 21,580.28 is: 32,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,873.71 : 82,254.06 = 21,580.28 : x
  2. Step 2: Convert to fraction form
    54,873.71/82,254.06 = 21,580.28/x
  3. Step 3: Cross multiply
    54,873.71x = 82,254.06 × 21,580.28
  4. Step 4: Simplify right side
    54,873.71x = 1,775,065,234.67
  5. Step 5: Solve for x
    x = 1,775,065,234.67/54,873.71
  6. Step 6: Final answer
    x = 32,348.19

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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.