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Finding the Fourth Proportional to 54,867.84, 82,301.76 and 13,314.84

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Solution

The fourth proportional to 54,867.84, 82,301.76 and 13,314.84 is: 19,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,867.84 : 82,301.76 = 13,314.84 : x
  2. Step 2: Convert to fraction form
    54,867.84/82,301.76 = 13,314.84/x
  3. Step 3: Cross multiply
    54,867.84x = 82,301.76 × 13,314.84
  4. Step 4: Simplify right side
    54,867.84x = 1,095,834,766.12
  5. Step 5: Solve for x
    x = 1,095,834,766.12/54,867.84
  6. Step 6: Final answer
    x = 19,972.26

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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.