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Finding the Fourth Proportional to 54,869.84, 82,304.78 and 13,316.84

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Solution

The fourth proportional to 54,869.84, 82,304.78 and 13,316.84 is: 19,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,869.84 : 82,304.78 = 13,316.84 : x
  2. Step 2: Convert to fraction form
    54,869.84/82,304.78 = 13,316.84/x
  3. Step 3: Cross multiply
    54,869.84x = 82,304.78 × 13,316.84
  4. Step 4: Simplify right side
    54,869.84x = 1,096,039,586.50
  5. Step 5: Solve for x
    x = 1,096,039,586.50/54,869.84
  6. Step 6: Final answer
    x = 19,975.26

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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.