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Finding the Fourth Proportional to 54,810.84, 82,216.26 and 13,257.84

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Solution

The fourth proportional to 54,810.84, 82,216.26 and 13,257.84 is: 19,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,810.84 : 82,216.26 = 13,257.84 : x
  2. Step 2: Convert to fraction form
    54,810.84/82,216.26 = 13,257.84/x
  3. Step 3: Cross multiply
    54,810.84x = 82,216.26 × 13,257.84
  4. Step 4: Simplify right side
    54,810.84x = 1,090,010,020.48
  5. Step 5: Solve for x
    x = 1,090,010,020.48/54,810.84
  6. Step 6: Final answer
    x = 19,886.76

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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.